Just curious, is there a way governments could somehow block access to those satellites or force the companies behind them to deny access for people of their country?
See above - two-way satellite equipment is illegal in belarus. There will be no legal way to buy an access point, and owning it risks you jail time. So most people wont have one.
Maybe some lone dude in the remote are can smuggle it in and keep it hidden, but if we are talking about mass movements, that terminal won't be mich use