i have a website. i host it in America. i do not check where my visitors are coming from and just comply with American law since this is where me and my server are.
am i "operating" in zimbabwe, or moldova, or fiji? no.
if twitter stops selling ads to EU entities, closes any offices, and hosts just outside the EU borders it does not have to comply. if for no other reason then the eu loses its power to enforce.
You don't and if Twitter does the same they wouldn't have to check either.
Probably everybody operating a website is in violation of a law somehwere around the globe.
If you want to sell to European customers you will find that (depending on your size and business) you will have to comply with some laws in order to continue in this Market.
The bigger your business the more rules and at a certain size laws will be created to regulate you in particular. This is what Twitter and friends face.
Well, until EU courts hold Twitter executives in contempt. in which case any traveling for those people outside the US might be a tad risky. Just ask those VW managers that cannot travel outside of Germany anymore because the US have extradition treaties in place with other EU countries.