I used to be an online game addict. I had a bf who left me because of my addiction. It is true that the time spent together with your loved one lessens and lessens as the interest in the game progresses. Before our relationship ended, I tried over and over to explain to him how the game works. I tried teaching him how to play and I even showed him my interview when I got to be the featured player of the month.
I thought he'd be thrilled and proud of me but all he said was, "Maayo pa ka happy ka...ako dili na." I knew that I had to choose but I tried harder and gave him more time than my game but still, he demanded for my 100% attention. I tried to reason and explain that my online game is one of the things that I love and that all I'm asking is for him to give me a little bit of understanding. But instead, he said he'd rather let me go than stay and be rivals with my stupid online game.
I think I've done my part in compromising things...it was a thing that was important to me even if it was just a game and he didn't even give me a little bit of understanding. I must say that your BF is indeed lucky to have you since you actually understood and opened your heart and mind to his addiction. If your BF thinks spending time with you is wasting time compared to him playing his online game and if he also doesn't make your ends meet, then there's no reason for you to tolerate his behavior.
You should see even the slightest effort from him when you tried to make your relationship work with his addiction. If not, then he's treating you as if you don't matter at all. Let go.
In my case, I made efforts but he just refused to accept and open his mind to it. Well, it wasn't my loss but his.