
I doubt Paypal will stop accepting payments from legitimate research and tutoring services unless their worldwide competition agrees to do the same. Regarding Google, they are also a business and now that it's very clear that the UK government and (partially) the EU have been taken over by extreme politicians, the US corporations will take a hard look whether it's worth it and what's coming next.
If they succumb to political pressure to dictate how to do business, they will have to do it over and over again in the future. If they ban academic research services today, there will be voices from certain communities to ban, let's say, religious organizations, "flat-earth truthers," or gun-rights advocates.
Once book burning starts, it's over for free enterprise (which means decreased earnings for stock-holders).
Still, I may be wrong in my reasoning. If that's the case, students will find a way to use services they need. In general, I don't think Google would ban example writing services unless all other search engines agree to do the same. But the Russian Yandex or the Chinese Baidu surely won't.