I use KeePassXC’s browser integration daily and it works pretty well with Firefox (linux), well enough that I’m not complaining, but I cannot compare it with Bitwarden cause I never used it. On Android I use Keepass2Android and works well with autofill, but again, I can’t really compare it.
Something tells me Bitwarden works better, just by virtue of being a commercially supported product, but I have no complaints with KeePassXC & Keepass2Android (KeePassDX works well on android too). Original KeePass desktop client was never great though.
I could be wrong, but I think Qualcomm designs its own chips and only licenses the “API”, so it would be no difference for them.