Really? After finding out that the police reports you have also "seen" do not actually include charges you now have seen the DA pressing charges while strolling through the court house and walking into random arraignment hearings, I presume? And you probably did not catch any names of the perpetrators, right?
>What evidence do you have to support your claims that people choose not to bike because of theft
Talk to people perhaps? I figure you don't bike and people you know don't either, so, instead of a court house how about hanging at an LBS and asking people working there and the customers?
>and that theft isn't prosecuted based on housing status
That's not something I claimed, I said that bike theft is not prosecuted period. But homeless also are not charged with the whole bunch of crimes they commit regularly: trespassing, public intoxication, traffic violations, disturbance of peace etc. You can ask a local PD or inquiry your DA office about that.
>Why do you use homeless as a noun to refer to people?
Because it's a noun referring to such people? https://www.merriam-webster.com/dictionary/the%20homeless