doesnt sound like a shitty idea, ill tell you though for me im starting to get to the point where weight is really heavy and the only think i like to do while im resting is NOTHING. I used to do abs between every set back when i first started lifting and i didnt need a whole minute to recover. but now days i'm really out of breath after every set and i feel like im going to pass out and die if i do anything other than rest.
but no in theory if your cardio is well and you can handle heavy lifting with active recovery it sounds great as long as you figure out a way to do it without ruining you lifting.
for instance i know if im hitting chest on monday i wouldnt want to do biceps for active recovery if my next workout was a back day, (like working out your biceps two days in a row) ive known some people that do things like that but i dont like to. i would schedule it so that every muscle group had atleast 2 or 3 days of rest between workouts.
just my two cents, do what you want.