I use iOS and a password manager, and maybe 5-10% of apps I use have an integration for it (and I place the blame on Apple for this, imo if they actually care a

I use iOS and a password manager, and maybe 5-10% of apps I use have an integration for it (and I place the blame on Apple for this, imo if they actually care about user security as much as they want everyone to believe they do, they should have an app store review policy that forbids having a password field without using the password manager extension). Anyway, the effect is that almost every time I sign into an iOS app, I'm copy & pasting my password into the password field. So now my passwords will all be synced via bluetooth and/or to icloud whenever I sign into an app. At this point, is using a password manager actually less secure than just re-using the same password everywhere like everyone else does?