If we have a bye week, do injured players heal more if they are active or deactivated?

Doesn't matter, should heal the same either way with a bye week.

There should be a quicker recovery time for injured players if they are deactivated. It just makes logical sense.

I read something a long time ago that said deactivated players get a double bonus healing as opposed to active players......maybe JDB can answer this one.

No, but active players with injuries have a higher probability of being reinjured.