The EU's new copyright filters will be catastrophic for the web, but they're going to be even worse for your favourite game

Well, except that a) it would just impact EU hosting of mod content, so as long as the mods are hosted elsewhere, it wouldn’t impact the games - unless we’re talking about games with fanbases disproportionately in the EU, b) fan communities aren’t necessarily mod communities as c) most games aren’t designed to support modding and d) there’s little desire to mod most games - only certain types of games that are very popular tend to get modders (so it’s most likely to impact larger, established game companies like Blizzard, not upstarts in this respect).
What it’s not going to do is privilege large game companies like Blizzard because only they will have the resources to do the copyright filtering - I can’t imagine any game company will have, or want to spend, the resources on something like that when distributing user-created content is a small part of very few companies’ strategies to begin with. Any impacts are going to be highly unpredictable and largely effect certain types of games.