I've never seen a report of a bike chop shop in a homeless encampment in Chicago.
I'm not aware of a great number of homeless people who have bikes. I've certainly never seen anyone on a $10k bike on the city streets, regardless of housing status.
The bikes that are stolen are largely stolen by organized rings, and "scrappers" who drive up and down the alleys grabbing any scrap metal not tied down. They're not cutting bikes off racks, but they're taking ones that aren't locked up. I don't know any homeless people that own trucks, so you?
They're not being stolen by homeless people. I mean I'm obviously not saying no homeless person has ever stolen a bike, I'm saying that it's not a significant source of bike theft.
Why do you use homeless as a noun, and not an adjective? Do you also refer to Black people, gay people, or Jewish people this way?
Regardless: bike theft is not a part of the calculation for people to ride a bike, at least here. #1 reason is "riding in traffic is too scary." Reducing bike theft does nothing for those people; it's already not even on their minds when making the decision. (That's your claim, btw, so back it up if you feel like it)