Which policy exactly is consistent with keeping prices high?

The statements around increasing supply without discussing lowering prices.

In the election platform, increasing supply was discussed separately from affordable housing.

Well if what we have currently is "unaffordable" I think it is safe to assume that "Affordable housing" means less than market

From what I've seen, "affordable housing" typically refers to government owned and managed housing that is rented out below market cost. That's consistent with the language used in the LPC election platform. Usually there is a waiting list to get it, and some sort of means test or qualification (like being homeless, etc) to get onto the list.

I'd distinguish that from making open market housing more affordable, either through rent caps, subsidies, changes to tax law, flooding the market, etc. That would lower the cost of housing on the open market.

I think that distinction is real because neither Carney nor the housing minister have said "we will make housing cheaper and more affordable". Instead, they're using Affordable Housing like a proper noun and talking around a very straightforward question.

Who do you believe will get access to it?

I don't know. I haven't seen an explanation of what the Liberals plan.

If spaces are very limited, I hope for a means test, prioritizing people on disability, or the homeless.

If spaces are kind of limited, I hope they limit it by income. Poorer people would get access first.

If it's abundant (which hasn't been promised), I hope that it would be open to all. But that seems really optimistic.

It'll be defined at some point. We'll see then.

As someone who has never had a hope of owning a home in their lifetime, you can get in line behind the people without a place to live and wait with the rest of the middle class.

I'm waiting right along with you.

You correctly pointed out that the headline takes the quote out of context so I parodied the headline by taking the quote even more out of context. It's a joke!

It's centrally important and means that they are still in denial. Real prices must come down — as you say, due to basic principles of supply and demand — if the problem is going to be solved. But they cannot be allowed to come down, because that's another financial crisis waiting to happen. And nobody wants more general inflation either, when we've so recently been reminded how much it sucks. It's quite a dilemma.