The problem with e-scooters isn't the scooters themselves, it's the reckless behavior they inspire in riders. Here's a device you don't own and aren't accountable for. For a couple bucks, it can go pretty fast, fit through narrow spaces, and there are no (enforcable) rules about where you can and can't ride it. Have fun!
There are so many logistical barriers to creating systems for accountability with rental scooters. First of all, remember that crime (and law enforcement) is an economy, and the fines have to be large and frequent enough to result in positive cashflow into the city. Otherwise, there is no incentive to enforce the rules. Now consider what a city would have to do to enforce the rules you suggested. The city will either need to
1) force the e-scooter companies to provide their data to law enforcement,
2) require the e-scooter companies to self-report misbehavior and pay the corresponding fines,
3) rely on citizens to report misbehavior.
Among the litany of reasons why (3) doesn't work is because it relies almost entirely on circumstantial evidence. (2) is laughable because the scooter companies have no incentive to self-report, and an audit would be hideously expensive for the city government. (1) doesn't work under US law because the police would need a warrant, or a legal hellstorm would ensue.
Bicycles also make no noise and emit no air pollution. They can also be electrically-powered, they are safer for the rider, and are limited by the laws of physics to safer, less erratic driving. They're faster and harder to steal. They're categorically better than e-scooters in every way except size, and as I said, even their size can be considered a strength.
Rental e-scooters were a fun experiment, and I will definitely tell my kids all kinds of stories about the stupid things I saw people do with them. If my city bans them, I will be pleased.