And just to disclose my biases, I would tend to believe that $350k is an absurdly high figure and that politicians are obviously not holding a vote where they are forced to choose between ending homelessness and funding genocide. But I believe that people who disagree with me can be considered intelligent and not "too dumb to pass an intellectual CAPTCHA".
A quick Google gives on the order of 1 million homeless people in the US. That's $10k per person per year which is the correct order of magnitude for the price of housing someone.
I believe OP missed the "per year" in the tweet that's why they are comparing to house prices rather than the yearly cost of housing, which is obviously much smaller because houses last longer than 1 year.
Intellectual captcha™