I too would like to see some real numbers behind this. But I will say that I took greyhounds and amtrak in / out of CA a lot growing up in the bay area and I had numerous experiences talking to homeless folks who had been put on the train or bus by law enforcement in counties outside CA for destinations including SF and San Diego. I never experienced the inverse of homeless folks getting shipped out of CA. Always stuck with me for whatever a personal anecdote is worth.
So that appears to imply that in largely more wealthy cities are sending homeless people to less expensive cities and SF has an active program which is doing this too.