While the reverse is rarely true* - conservatives would not bat an eye at the idea of eating a Ben and Jerry's ice-cream cone, if the temptation were to arise. A combination of the intolerance of the left and the insouciance of the right? *The only counterexample I can think of is drinking a Bud.

Really?...
In 2023, Chick-fil-A itself faced backlash from conservative consumers after critics highlighted the company's employment of a VP of Diversity, Equity, and Inclusion.
Reports from outlets including The New York Post, Fox Business, and Forbes detailed how critics threatened boycotts over the company's DEI programs.

forbes.com - The new anti woke crusade targets dei and chick fil a

A few other Conservative Boycott Targets:
The NFL: Experienced widespread boycotts, jersey-burning, and ticket turn-ins from conservative fans after players began kneeling during the national anthem to protest systemic racism.
Target: Faced intense backlash and store protests over its annual Pride month merchandise collections, leading to a notable drop in sales and the retailer scaling back some displays.
Disney: Targeted by conservatives and Florida state lawmakers after the company publicly criticized a state parental rights in education law and included LGBTQ+ content in children's media
The North Face: Boycotted after launching an "Summer of Joy" marketing campaign featuring a drag queen as the face of the outdoor brand.
Keurig: Faced a wave of consumer video protests and machine-smashing after pulling its advertising from Sean Hannity’s Fox News program in 2017
Nike: Criticized and threatened with boycotts for featuring quarterback Colin Kaepernick—who knelt during the national anthem to protest racial injustice—in a major ad campaign.
Cracker Barrel: Drew conservative pushback and boycott calls after introducing a meat-alternative sausage option and posting a corporate message celebrating Pride month.
Tractor Supply Co.: Faced intense pressure and online boycott campaigns led by conservative influencers over its climate goals and Diversity, Equity, and Inclusion (DEI) initiatives. The backlash prompted the company to completely eliminate its DEI roles and withdraw its carbon emission targets.
Harley-Davidson: Targeted by conservative activists who weaponized social media to audit the motorcycle manufacturer’s corporate inclusion policies and LGBTQ+ event sponsorships.
In response to the growing boycott threats, the company scaled back its diversity programs and limited its festival sponsorships.
John Deere: Experienced significant pushback from its core rural and conservative customer base over its corporate diversity metrics and resource groups. The company subsequently announced it would stop participating in social awareness parades and alter its internal diversity tracking.
Kellogg’s: Boycotted after pulling its advertising from Breitbart News, which led to a massive conservative counter-campaign under the hashtag #DumpKelloggs.
Gillette: Faced viral backlash, including customers filming themselves throwing away razors, after releasing a 2019 ad campaign targeting "toxic masculinity"
Starbucks: Repeatedly targeted by conservative boycotts over various cultural stances, including its decision to hire refugees globally and past iterations of its minimalist winter holiday cups.
Netflix: Faced cancellation campaigns and boycott calls over its multi-year production deal with Barack and Michelle Obama, as well as the release of various socially progressive documentaries and comedies.

them.us - Dei rollbacks which companies

pbs.org - Some retailers pull back pride plans after conservative backlash

businessinsider.com - Conservatives boycott brands keurig nfl starbucks