Well, I would think that low interest rates go together with financialization... By financialization I mean the stock of credit per-capita[0].
If you look at the ratio of house prices to years of work, these are things that have happened in that time: a) more mortgages, with longer terms, b) lower interest rates, c) higher financialization. I think all of these go together.
People wouldn't borrow so much to buy a house if they couldn't keep the payments low, for which they need longer-term mortgages and lower interest rates. Conversely, home prices couldn't rise as much if people couldn't afford them. Lower interest rates and longer mortgage terms stoke demand, but also, the fact that people can afford to pay more means that suppliers will demand more too. And since suppliers have debt too, I suspect that they could only have stayed profitable by increasing prices -- that merely increasing supply to match the higher demand without increasing prices was not an option for the industry as a whole.
You're right, I'm sure, that lower downpayment requirements are part of the story, so it's not just the monthly payment.
[0] https://en.wikipedia.org/wiki/Financialization
> Financialization is a term sometimes used to describe the development of financial capitalism during the period from 1980 until 2010, in which debt-to-equity ratios increased and financial services accounted for an increasing share of national income relative to other sectors.