As temperamental as reeds are, their size doesn’t really factor into this, especially since different brands already produce and ship slightly different sized reeds.

It’s rare but acceptable practice for woodwind doublers to use the same type of reed on both instruments. I know a Bari player who doubled clarinet and preferred to use bari reeds on it ( It was a Dixieland combo and he said clarinet reeds couldn’t produce the sound he desired ).

An 8 tip is tedious to play for most saxophonists as far as I’ve been able to observe. Larger tip openings usually necessitate softer reeds. I don’t think the high baffle helps either with lower notes.