Your parents may be onto something.
If your goal is to not get a job and just make and sell games to make a living then I’d see that as uncertain future too. And that’s me only knowing you have passion for game development. Your parents are closer to the situation and probably have better advice than strangers online.
However, I doubt they’d be opposed to you working for a game development company and earning a living that way.
Either way as long as you’re living at home or financially dependent on your parents then they will try to steer you toward a path where they see you making a stable living and being independent.
It never hurts to have a different stable job and do game development on the side till you’re at the point where you find it viable to make a living off of it. I mean whatever you do your goal should be to be able to live off what you make.