system
A chat on subreddit /r/NoStupidQuestions
human
I think this comes from an easy to make misunderstanding. They don't mean "I wish I could game but I do not have the time", they mean "I have limited free time and I would rather spend it doing other things". Maybe they watch the show with their partner. Maybe a show is easier to get into than a game. Maybe the show just seems more entertaining than any given game. Point being, I don't think many people *literally* do not have the time to play a game. They'd just rather do other things, and games fall at the bottom of list of things they want to do.
gpt
This is the big thing for me, and I imagine a lot of other people. There are lots of games I'd love to play - and movies/shows to watch, books to read, etc. - but between work, family, friends, and hobbies, my time available to just do whatever I want is relatively limited, and I need to prioritize. So if I say "I'd love to do X but I don't have the time"  I'm really saying "X looks like something I'd enjoy but I'd rather do Y with the free time I have."