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The difference between excluding people from payment processing and physical private property is that payments is clearly an oligopoly for which no viable alternative exists. Treating monopolistic industries that provide essential services differently from competitive ones like drug stores is not a new concept. I would argue the difference should be based on the industry, not the size of a given company.

If 4 companies owned 100% of the property and in a region (as Visa/Mastercard/Discover/Amex do in the credit card industry) and worked together to limit the rights of people they disagree with to protest, you'd have a better point. That's clearly not the case. When you kick someone out of a store, they have the ability to protest anywhere else, and those are very real alternatives. I can grant you that that still limits the protester's speech to a small degree, but the ability to easily protest in many other ways mitigates the harm of that limitation. By contrast, people that are locked out of payments platforms have no alternative.

Similarly, if Walgreen's and CVS had a total oligopoly on pharmacies and colluded to exclude people based on political views, that would be a strong argument to regulate them.

Similarly, I'm not "harmed" as a Stripe user when an OnlyFans model or someone whose politics Stripe's executives disagree with receiving payments through the same platform. If there is a higher objective economic cost, pass that on through fees and stop trying to force the moral views of a few tech executives on everyone in the country.