This is interesting topic. My understanding for this is exactly same but I’ve heard other opinions (from smart educated coaches) that one cannot speed the recovery by doing recovery workouts.
I think if that is true then it follows that [recovery] workout needs to be one that maintain fitness best while breaking body or intervening recovery process as little as possible.
Whichever is the case I think running beats ones legs thus it might be inferior as a recovery workout. But what would I know, just thinking out loud π