Can confirm the rock giving is true. We Penguins definitely do that. Also, your boyfriend needs to go to a therapist. A depressive episode does not look the same in men as it does in women. Regularly playing games is a likely indicator he is short on dopamine and he's likely very overwhelmed. I don't think he's lying and without knowing him, but having met several men like him - I don't think he's lazy, he's having a depressive episode.

https://www.helpguide.org/articles/depression/depression-in-men.htm

That doesn't help you much and he absolutely needs to get his shit together - but that's likely to require some sort of therapeutic input. The gender flipped equivalent article would be if he went out to work and when he came home, you'd been crying all day. Imagine how that 'she's a lazy bitch' article would've gone down in the current climate. He's struggling, he likely doesn't have the emotional range or the literacy to explain it.

Like many other people on this comments section, I think it's likely a relationship you would be better off out of than remaining in - but my approach would not be so hardline. People are complicated, men are more complicated than they appear on the outside.

EDIT: Have expanded this comment into a full article https://medium.com/lucid-nightmare/is-your-boyfriend-a-loser-or-is-he-depressed-272227aa4bb6