I think creating a permanent world peace would be easier than convincing progressives to give up their tired, inaccurate housing market tropes.
It is impossible to have a constructive conversation with people who refuse to accept basic facts, and I don't think they have any idea how counterproductive it is.
You think the parent poster is anti-housing and anti-poor, either in practice or in their own mind?
I would say progressives in the US are anti-wealthy first, leading to poorly thought out policies with obvious second or third order effects that harm the people they so passionately advocate for, but I wouldn't call that anti-poor personally.
If people stopped accepting the claim of 'progressive' from anti-housing anti-poor people just because they self-label that way, that would be a good start.