I don't think that's true. For example, in the US, dept of urban housing has this [1], which shows total number of homeless decreasing despite total underlying population increasing.
[1] https://en.wikipedia.org/wiki/Homelessness_in_the_United_Sta...
From the same surveys it's fairly clear in recent years homeless populations are rising if you look at exhibit 2.5 on page 25. [2]. Worse transitional housing is being replaced with shelter beds meaning those who are homeless are more likely to stay so.
I also should be clear looking big picture like this misses details. Things like Los Angeles's homeless population increasing by 16% [3] and a 5% rise in Seattle [4] and similarly Vancouver [5]. All of these cities have great GDP growth. Experts across the political spectrum are fairly consistent that the cause is related to affordable housing.
Now I can't make you change your mind about something you want to believe, but when you really engage with what's going on suggesting causality between GDP and homelessness is a very shallow superficial analysis. I think the data makes a pretty clear of what's going on. I'd encourage you no matter what position you choose to take to really engage with the details.
1. https://www.washingtonpost.com/business/2019/09/18/surprisin...
2. https://files.hudexchange.info/resources/documents/2018-AHAR...
3. https://www.latimes.com/local/lanow/la-me-ln-homeless-count-...
4. https://www.city-journal.org/seattle-homelessness
5. https://www.vancourier.com/news/vancouver-s-record-breaking-...