There are some capitalist countries that have a pretty low number of homeless people. Finland, for instance: 3,686 in 2022 (0,07% of whole population). So yeah, perhaps USA could do a lot better in this, but also being capitalist doesn’t really correlate with this.
Then again, could be that the reason for the low number of homeless people in Finland is that you don’t survive the winter if you’re homeless in Finland.