I bang the drum for public housing every time the issue of affordability comes up for a number of reasons. The #1 most livable city in the world is Vienna, Austria. Vienna has been running a fantastically successful public housing system for a century where better than 60% of the city lives in it. This has led to very affordable housing which is basically the only thing differentiating them from anyone on the list, other than perhaps scenery.
We as a society accept that healthcare is an area where the seller/purchaser dichotomy gives far too much power to the seller side of that equation. All the same arguments hold when speaking about housing and we need to adopt widespread public housing because it is both a financial no-brainer and morally the right thing to do.
$300k for a house in downtown Tokyo on average. If they can do it simply by having good zoning laws, anybody can do it with a bit of real work.
Not to mention that Finland is known for having zero homeless thanks to public housing as well. Having a safe place to live is the first step to fixing up your life, as if you're always worried that your possessions can be taken the moment you look away or go do something, there's no way you can take the time to find a job.
Conservatism is hesitance to change. It would only be similar to neoliberalism if neoliberalism were the status quo – being afraid to move away from what already is.
Neoliberalism (a term which uses "liberal" in the global "economic liberal" sense and not in the backwards and confusing way we use the term "liberal" in North America) has been treated as a status quo viewpoint for a long time now in corporate-owned media, which many use to form their opinions. Its vanguards were people like Mulroney, Reagan, and Thatcher, all of whom forever changed their countries' politics, and all of whom were from conservative parties themselves.
Maybe mainstream conservatism up to the 1970s would have been incompatible with neoliberalism, but not from at least the 1980s onward. (Not saying there aren't the occasional socially conservative folks who might dislike neoliberal economic policies now, though. Just pointing out it is literally what most if not all conservative parties base their entire economic platform on.)
I might still be apartment living in Saskatoon if there had been high density housing that met my needs.
Close enough to the river that going for a walk was more about walking along the river than getting there and back.
A reasonably safe place to keep a canoe or something close to the river.
Enough public toilets with hours of operation to support things like going fishing (or walking or running or canoeing or snowshoeing) at sunrise and sunset or even in the dark for stargazing.
On site or nearby shared shop space so I could maybe build a chair or a chest of drawers or a jewelry box. Or a canoe, even!
As long as the focus is on the lowest common denominator or, worse, basically warehousing people, high density housing will always be an uphill battle.