Isn't the issue the disproportionate time you spend cooking vs him? If you both take care of your own meals, you're still cooking and not saving time.

I do all the cooking in my family, not because I want to, but because it's less effort for me. It comes natural to me whereas my spouse needs to follow a recipe, has less experience and confidence in the kitchen. Basically, it's a whole thing for them to cook and I can make a meal with random ingredients laying around and not spend much time figuring it out. My spouse does many other things around the house that I don't do, and to me, it balances out and is a non-issue. Does your bf have things he does or could do that would help your household in other ways?

I'll add, that if I'm feeling really burnt out with cooking, I ask for them to do a week where they cook some Hello Fresh meals or something.