Remember, those cans belong to the City. I would not have a problem with someone moving them in order to park, but yeah, leaving them blocking the sidewalk makes you look bad. IDK what the answer is.
Tangential: when you notice someone has not retrieved their cans for a few days after pick-up, do you kindly push them up toward their house or toward their side gate? I do this on my street when it’s clear no one’s home (I do not put them behind the gate) - I suspect burglars look for signs like that. If I did that for the OP, would that bother you?