Yeah it’s just a hypothetical. But I think you could sell your game. Doesn’t have to remain free, I don’t think. And with new games you create obviously you could start out selling them. Obviously you’d want to make sure you get a copyright and such if you don’t already have one.
But yeah, I don’t know how much time you want to spend or how much potential risk.
It’s fine of course to create just as a hobby.
But I know from my own career that generally if you don’t actively seek connections and essentially market yourself it might not be discovered. Probably even just getting an interview or talking to publishers who have worked with Nintendo might at least somewhat put you on at least some publishers radar maybe.
This looks like it might be a company that publishes games to Switch: https://qubicgames.com/
You’ll have to double check everything because I just did a search. It’s always good to get confirmation and testimonials from their prior customers.
Sorry, just purely wishing the best, but no worries at all—your games are already reaching a lot of people and bringing a smile as is.