This sounds really quite shit. I’m so sorry. It’s not just the gaming (tho that is bad enough) but he also sounds like a jealous wanker trying to control your friendships. I wouldn’t be having that, myself.
I agree the fact that his hobby is gaming isn’t the problem - wouldn’t matter what it was, it’s the fact that he wants to do it every spare moment, despite the fact it upsets you.
For example, my partner is a writer (as well as having a day job - his writing is like a hobby in a sense, as it doesn’t generate much money at all, but he loves it). This weekend, on Sunday I wanted to spend time just me and DD (not his child, but he is a good step-parent to her), so I said, I’ll take her out, you spend the day writing. He was clearly pleased, but did say, are you sure we shouldn’t do something as a “family”, play some games with her etc..... And this was after we had all gone out together the day before.
Similarly, in the evenings I love to spend time cooking dinner, listening to the radio etc. So I will tell him to feel free spend a couple of hours writing. But he always asks if I’m sure, if I wouldn’t prefer him to cook, etc. And we always spend an hour before bed watching something on TV together, reading to each other, chatting etc.
What I suppose I think is, hobbies are great, especially if someone has a stressful day job, and it’s great if there is some space for someone to indulge their hobby. But no man or woman with a partner and/or family has a right to take that as a given. Their priority should be their loved ones, and there should be a degree of gratitude when one partner picks up the family/housework slack to allow the other one time for their hobby - it becomes hugely unbalanced, even exploitative, when this is just taken as a given........