It sounds like in your case, what made the idea good was not so much the product itself, but applying it to the right niche (product-market fit in modern startup parlance), possibly at the right time.
So maybe your idea wasn't so great after all?
I find it very common to hear people say "people made money off of my idea": that means people don't consider market timing or marketing to be part of the idea. Isn't that odd?
I guess that comes from "ideas" living on a spectrum from a vague "AirBnB for X" to a fully baked narrative that includes a very precise vision (not that that's what ends up being executed in the end). You hear a lot of the former, very few of the latter.