On Friday afternoon, as Stephen Ross, the billionaire real estate developer and the principal owner of the Miami Dolphins , prepared to host a high-priced fund-raiser for President Trump at his home in the Hamptons, it appeared that some celebrity chefs had failed in their efforts to persuade Mr. Ross to call it off.

This week, José Andrés of Mercado Little Spain, David Chang of the Momofuku restaurants and Christina Tosi of Milk Bar took to the internet to condemn Mr. Ross, the chairman of the real estate company that owns Hudson Yards, where Mr. Andrés and Mr. Chang have recently opened restaurants. Mr. Ross has a stake in Ms. Tosi’s dessert chain.

They were following the lead of Equinox and SoulCycle, which distanced themselves from Mr. Ross, the chairman of their parent company, after fans started a boycott movement with the Twitter hashtags #CancelEquinox and #CancelSoulCycle. Calls to boycott Mr. Chang’s restaurants, in which Mr. Ross is an investor, have been fewer and further between, but the week’s events underscored how perilous today’s polarized political climate can be for restaurants and other business with well-connected investors and developers.

Despite his frustration with his Hudson Yards landlord, Mr. Andrés said in a Friday afternoon phone call that he did not intend to cut his ties with Mr. Ross or distance his businesses from him. “If we are going to start tomorrow breaking with everybody that has relationships or supports people we don’t agree with, we will be living in anarchy,” Mr. Andrés said.