The key detail not mentioned in that article is that this is primarily an issue of London, which the rest of the country does not share. Outside London, house prices are a lot more reasonable and there isn't really a major shortage.

The planning permission details in there appear to be a distraction - release of low-value "green belt" land, like that pictured in the article, does happen where needed. The big problem in London is that any proposal for new construction will be met with fierce opposition from nearby homeowners on the grounds of congested roads, limited parking space, overuse of local amenities, and lowering the value of their own properties.

It sounds like you think you're disagreeing with him, yet the housing crisis, as you say, is due to limited building, and lots of MPs have property portfolios which more building will threaten the value of. Meanwhile those who already own large properties are happy to see wealth transferred by this arrangement from the young and poor to the old and wealthy and reliably vote for it to continue (while complaining about 'subsidy junkies' who want something for nothing).

So a simple problem to solve, except for the fact that its being intentionally inflicted on people by those with power for their financial benefit.

It's like San Francisco only way bigger!