That thing about cities bussing their homeless elsewhere seems to be a pretty common urban myth. I don't think anyone has really shown that it's definitively happening on any large scale manner. And it should be relatively easy to show given that governments publish their budgets.
It's not a myth.
https://www.theguardian.com/us-news/ng-interactive/2017/dec/...
So not exactly the same thing, but in the Phoenix metro area the homeless population probably triples during the months when it's not 100 degrees plus. I've always assumed, with no evidence whatsoever, that there's some NGO that moves homeless from more northern latitudes to southern ones, and back, depending on the season, mostly because it just makes sense.
Governor Rick Perry of Texas openly bragged about bussing the state's homeless to California for years.
Abbot does the same thing; he simply doesn't brag about it anymore.
The LAT did a series of articles (back in 2018, and sporadically since then) in which Steve Lopez tried to humanize the homeless in Hollywood. It took him over 2 days to find someone who has actually a local. The vast majority of the homeless came from...Texas. They were given bus tickets by local authorities and told that California would overlook their drug issues and even give them free drugs.
The last census I saw of the Los Angeles homeless population found that the percentage of homeless people in LA that were never housed in LA was higher than either the percentage of homeless people who had a severe mental illness or substance abuse issue.