Having parents who are presumably supportive and can provide you with room and board and space to play around with your ideas makes it difficult to take the rest of the sentence seriously. In particular, lots of folks who support children, disabled spouses, ailing parents, and people with bad credit because they've been poor all their lives wouldn't have been able to do what you did
I don't generally find conversations around privilege to be useful since almost everyone is privileged compared to somebody else, and almost anything can be framed as privilege, so the term is very easily weaponized. At the same time, I think it's important to have awareness about the ways in which one can be privileged to someone else -- at least the large ways -- and parents can often be a very large way.
Not because you should feel guilty, but because it's very easy to lose sight of certain terms in the calculus of one's success, particularly the ones involving luck or help from others because it might feel like they minimize the contribution from your skills and blood/sweat/tears/creativity/appetite for risk/other stuff that you might be proud of. Mainly I think this stuff is important because I think self-awareness is important, and because I've found it helps with understanding and having more compassion for other people. That's all