Washington (CNN) President Donald Trump has a new excuse to hector the Federal Reserve into lowering interest rates further this year: his turbulent trade war with China .

Trump seized on news that policy makers in three other countries -- India, New Zealand and Thailand -- all aggressively cut rates much more than had been expected over fears of growing economic uncertainty as the world's two largest economies continue to spar.

"They must Cut Rates bigger and faster, and stop their ridiculous quantitative tightening NOW," Trump tweeted on Wednesday, rebuking the Fed , which operates independently from the White House. "Incompetence is a terrible thing to watch, especially when things could be taken care of sooo easily."

Fresh turmoil this week between the United States and China only raised the prospect the Fed may have to cut rates even more this year to avoid a collision course that could deeply damage the world economy.

The catch, however, is further rate cuts this year may not be enough to erase the lasting damage of a trade war on the US economy even as the President uses it as another reason to bully the Fed.

"The feedback loop between the Fed easing and U.S. trade escalation is unlikely to cease," said Derek Tang, an economist at Monetary Policy Analytics Inc., in a note to clients this week.

Fed Chairman Jerome "Powell could make the forceful case that rate cuts cannot fully offset a downturn caused by trade policy uncertainty," Tang added. "But it might not be convincing to the White House, which is itself divided ."

US consumers are expected to bear the cost of duties slapped on products made in China like iPhones, laptops and televisions, while businesses continue to sit on the sidelines, avoiding making any investments.

Since the Fed's rate cut last week -- the first since the Great Recession -- Trump has continued to relentlessly jawbone the central bank to cut rates while simultaneously escalating his trade war with China.

A day after the Fed shaved off a quarter-percentage point, Trump threatened to slap a 10% tariff on $300 billion in Chinese goods on September 1, later triggering a 24-hour tumult in tit-for-tat retaliatory actions between the world's two largest economies

The unprecedented and now routine public criticism by the President on the Fed prompted four of Powell's predecessors -- Janet Yellen, Ben Bernanke, Alan Greenspan and Paul Volcker -- to vocalize their opposition this week, arguing the central bank should be allowed to act independently, void of short-term political pressures and threats of removal or demotions.

"Even the perception that monetary-policy decisions are politically motivated, or influenced by threats that policy makers won't be able to serve out their terms of office, can undermine public confidence that the central bank is acting in the best interest of the economy," the former Fed chairs wrote in an op-ed in The Wall Street Journal on Monday. "That can lead to unstable financial markets and worse economic outcomes."

At its June meeting, the Fed left the door open to further rate cuts, while also suggesting that it has not entered an extended period of lowering rates. But that messaging was before Trump made a fresh tariff threat and China allowed its currency to weaken, prompting Treasury Secretary Steven Mnuchin to officially label the country a currency manipulator at the direction of the President.

"Trying to get the Fed to do more by sandbagging the US economy is not a particularly smart strategy," said David Dollar, a former Treasury Department official now at the Brookings Institution. "The damage from the trade war -- the Fed cannot completely undo that. They might make a policy response. It may have some modest effect, but it's not going to undo the damage of the trade war."

Maurice Obstfeld, an economics professor at the University of California, Berkeley, and a senior fellow at the nonpartisan Peterson Institute, said the President has realized that "if there's weakening in the economy, if there's weakening in the stock market, the prospect of another Fed interest rate cut rises, and so he might view the Fed as providing some insurance for him on that front."

"That's worrisome, because it's not clear that the Fed can offset everything that the trade war does to damage the economy and there's room for error there," he said.

Wall Street is already expecting three more interest rate cuts, in September, December and January.

A number of Fed officials this week weighed in on the prospects of further policy easing following trade escalation.

San Francisco Fed President Mary Daly said recent trade tensions, which have been "amplified," will now be a key focus in figuring out next steps. " Sometimes the blowing slows down and sometimes it picks up, and now we're in a picked-up position ," she told The Wall Street Journal.

St. Louis Fed President James Bullard, one of the more dovish members on the central bank's policy-setting committee who's called for rate cuts, tried to diminish market expectations that the Fed was all but certain to make a big cut when it meets next in September. Instead, he acknowledged the challenges facing central bankers as a result of trade uncertainty. "US monetary policy cannot reasonably react to the day-to-day give-and-take of trade negotiations," Bullard said in a presentation in Washington on Tuesday.

Trade, as Powell pointed out last week, is an "unusual" factor for central bankers to consider when weighing future policy moves to keep the economy on an even keel.

"The thing is there isn't a lot of experience in responding to global trade tensions," Powell said in a news conference last week. "So it is something that we haven't faced before and that we are learning by doing."

Policymakers usually rely on incoming numbers that either show whether growth is slowing or not, and that helps them determine where the economy may be in the business cycle. But with trade it's much harder to pin down precisely, even while recognizing the impact it has on creating volatility in financial markets and the economy.

Powell has regularly pointed to the ongoing "uncertainty" of the country's trade war with the world's second largest economy, China, describing negotiations at times as "disruptive," and whose effects have already led to softened global growth, weakened manufacturing and muted business investment.

But, for now, the Fed chairman has tried to thread the needle by cautioning a wait-and-see approach as the situation evolves.

"With trade we have to react to the developments and we don't know what they'll be, and so it's hard to say," said Powell. "We're just going to be watching."