That's a good start. Another thing I would like is if the owner has AAA or some other towing service then the city would be required to call them to tow it.
Also there is little reason, except corruption, for the cops to not send the owner a text or recorded message to move their car before towing it.
My gripe with towing is that personal property is held hostage. You should, in all cases, be able to get your property back immediately, without paying at that moment, and then deal with fines, fees, or bills separately whether via court or otherwise.