The problem is that we can't just wave a magic wand and increase supply instantly, or even with a year, or perhaps 5 years (lack of trades, materials, and so on), but we could, at the stroke of a pen, flatten demand right now.
The fact is that the UK is creaking at the seams and the elephant in the room is too many people. Yet, for the NHS it's 'Tory underinvestment' (despite never having more money, and the highest ever staffing levels), and for all the potholes it is again... Tory underinvestment, despite vastly more traffic and no new roads. Similarly with pretty much everything else. Demand is people using the NHS. Demand is people using the roads. And yet somehow we've not raised silly amounts of extra tax from the extra people to pay for any of the extra stuff.
But it's always fashionable to blame the Tories (as they're mostly in power), rather than apply a bit more critical thought to the problem. Next 5 years at least, will be Labour, but it will still be the Tories' fault. And I'll place a small wager than net immigration to the UK will still be 200k per annum, so another 1mm people, but that will be ignored in favour of 'Tory underinvestment'. Every government casts a shadow on the next one, some shadows are longer than others. This one started in 1990, and got worse in 1997.
> honestly considers all the different factors that contribute to the housing crisis
It's not really a 'crisis', it's just, well, business as usual. I remember the same topic covered in the late 80s and early 90s. 'We're not building enough', 'there's a housing crisis'.
Sadly the UK housing market is so entwined in the economy, it will be decades for a correction to happen. Homeowners won't sell below purchase price. House builders won't sell without making a profit. Lack of house sales paralyses the economy. No labour mobility, loss of stamp duty and so on.
We cannot force prices down without causing problems in the economy - tradesmen, solicitors, estate agents, investors, and so on. There needs to be a multi-decade plan from 'the Government' to somehow reduce house prices. But that seems to be well above the level of ability of our politicians and political system.