It depends. Judging only by internet, it may look as occasional inconvenience, but there are so many alternatives to anything, so who cares. But there's more to it.
Like with this popular Japanese cultural export. When internet started to be widely available to everyone, the world discovered their "naughty drawings", it was new and exciting, there were various genres for anyone, and it was nice. Sometimes fucking weird, but whatever was in there wasn't real, so nothing to worry about. Since then (aside from the supply growing massively and taking new forms), somebody is quite successfully normalizing nonsensical idea that no, there's actually much to worry about, because those fictional characters definitely represent real people and whatever is done to them is almost same as if it was done to real people, and anyone who likes it surely wants to do it to real people, so the horror, we must act, protect innocents! It's bullshit, but they already pushed it into laws. That's a big thing.
Did it affect internet? Not much so far, but I don't see how it could be avoidable in long term. That's the thing, with laws behind you, you can do a lot, go after individual servers, if you can't reach them directly, then harass anyone related to them, because they need someone to handle their payments, server hosting, internet connectivity, etc.