It is possible for there to be a situation where to offer some service, you have to either break the laws of one country or the other. In this situation, you simply cannot offer that service without exposing yourself to legal consequences.

Well, nothing stops a company to implement different stuff for different countries.

Companies did this before the internet and even with internet they did it for China regulations.

I mean, even translation to different languages is basically "special implementation" for different countries...

That's not always sufficient. You can end up in a situation where an American court demands records that concern European customers. In that situation, handing them over gets you penalized in an European court, and not handing them over gets you penalized in an American court. Both will have the ability to really hurt you, and "the other court tells me not to" is not a defense at either of them.