Not remotely similar. Banks are gov’t regulated. Bakeries are artisans.
FIs, mom and pop shops, middle market firms, whatever, in the realm of free enterprise, should be free to make decisions that aren't using force nor fraud as their North Star. If the marketplace objects to artisans who don't make same-sex wedding cakes, FIs who won't finance Gun companies, or big media firms quashing conservative commentary, those firms will wither. Over time, they die.
That's natural law at work. And until recently, it's how "conservatives" reasoned.
Using the force of government to pick winners regardless of your political persuasion, is what Clinton, Obama, Bidet et al do/did/wish. We can either stay true to principles and pull our business if we object to an FIs decisions, or just make things up to make us feel good like leftist snowflakes.