I think you would be surprised how similar both are, almost all forms of "privacy" for apple is negated by icloud. If information is stored anywhere other than your phone, you have no privacy. there was a YouTube video someone posted that demonstrates even if your phone is off, it'll log when the phone moves, enters a car, gets out of the car, goes up steps.. then once the phone is turned on, that information is sent to a server. all phones do this, and you'd be sadly mistaken if you think Apple does this "less"Wow, that was fairly long for an OP.
You don’t seem to need an iPhone. For me, the biggest reason is the ecosystem and iMessage. You were fairly clear that neither is relevant to you.
My only concern with Android is that I don’t trust Google as a company and certainly not with privacy. If you’re OK with Google knowing everything you have in your phone and tracking you physically throughout your travels, by all means make the switch.
I take Apple to take on some issues but one thing I feel they get right is Apple’s view on privacy and making it insanely difficult to track users without their acquiescence.