New York Times political reporter Lisa Lerer said Monday that an argument by Sen. Elizabeth Warren Elizabeth WarrenDimon: Wealth tax 'almost impossible to do' CNN's Don Lemon: 'Blow up the entire system' remark taken out of context Democrats shoot down talk of expanding Supreme Court MORE (D-Mass), a 2020 White House hopeful, against appearing on Fox News "tiptoes dangerously close to deplorables," a term used by former Democratic presidential nominee Hillary Clinton Hillary Diane Rodham ClintonDemocratic groups using Bloomberg money to launch M in Spanish language ads in Florida The Hill's Campaign Report: Presidential polls tighten weeks out from Election Day More than 50 Latino faith leaders endorse Biden MORE to describe President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's voters in 2016.

"There is this big debate as you alluded in the Democratic Party about whether or not to go on Fox at all," Lerer told CNN anchor Kate Bolduan. "Elizabeth Warren, the Democratic National Committee, say it’s not something Democrats should do because by going on Fox, Democrats are just helping this network that vilifies them every day nonstop make money."

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"And then you have the flip side, which is Sen. Bernie Sanders Bernie SandersOutrage erupts over Breonna Taylor grand jury ruling Dimon: Wealth tax 'almost impossible to do' Grand jury charges no officers in Breonna Taylor death MORE (I-Vt.), [South Bend, Ind.] Mayor [Pete] Buttigieg, saying we need to reach people where they are," Lerer, also a CNN contributor, continued, referring to two others candidates in the Democratic presidential field.

"And there is some concern with the Warren argument that it tiptoes dangerously close to deplorables, that phrase that got Hillary Clinton in so much trouble during the last election, so you don’t want to sort of vilify people, even if you’re trying to vilify the network."

Lerer's perspective comes after Warren declared she wouldn't appear on a Fox News town hall because the network is a "hate-for-profit racket."

Other 2020 Democratic hopefuls have appeared on Fox News town halls, however, including Sanders, Sen. Amy Klobuchar Amy KlobucharSocial media platforms put muscle into National Voter Registration Day Battle lines drawn on precedent in Supreme Court fight Sunday shows - Ruth Bader Ginsburg's death dominates MORE (D-Minn.) and Buttigieg, who was featured in a live event from New Hampshire on Sunday night.

Buttigieg said during the Fox News town hall that many Democrats were critical of his appearance before noting controversial remarks made by Fox News hosts Tucker Carlson Tucker CarlsonPebble Mine CEO resigns over secretly recorded comments about government officials Fox News host says Kyle Rittenhouse was 'innocent,' 'demonized' Pebble Mine executives eye future expansion in recorded conversations MORE and Laura Ingraham Laura Anne IngrahamEx-Pence aide: Trump spent 45 minutes of task force meeting 'going off on Tucker Carlson' instead of talking coronavirus Sean Hannity and Lou Dobbs to be deposed in Seth Rich lawsuit: report NYC living statue shows Trump desecrating graves of war dead, COVID-19 victims MORE.

"I get where that's coming from, especially when you see what goes on with some of the opinion hosts on this network," Buttigieg said.

"When you’ve got Tucker Carlson saying that immigrants make America dirty. When you’ve got Laura Ingraham comparing detention centers with children in cages to summer camps. There is a reason why anybody has to swallow hard and think twice before participating in this media ecosystem," he added.

Buttigieg is polling at 7 percent in the RealClearPolitics polling index, more than 31 points behind former Vice President Joe Biden Joe BidenBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Democratic groups using Bloomberg money to launch M in Spanish language ads in Florida Harris faces pivotal moment with Supreme Court battle MORE in the race for the Democratic nomination.

The 37-year-old mayor is the third Democratic presidential candidate to appear on Fox News in a town hall format.

Sen. Kirsten Gillibrand Kirsten GillibrandSunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Suburban moms are going to decide the 2020 election Jon Stewart urges Congress to help veterans exposed to burn pits MORE (D-N.Y.) is slated to appear on the next Fox News town hall on June 2.