Property rights also apply to Stripe, in that the company, as an asset itself, can be restricted by its owners to conduct business in some certain way.
And I wouldn't be surprised if Stripe's policies will have more to do with the credit card companies than Stripe. Then, further, the credit card companies act as a cartel by using the government to prevent anyone else from using property to create a competing service by making the ROI on creating a competing service worse than other investment opportunities, or even just blocking it outright under some nebulous "shut down for accounting irregularities" or "insufficient consumer protections" nonsense.