You forgot to mention that boomers had high mortgage rates. According to https://themortgagereports.com/61853/30-year-mortgage-rates-... my parents, boomers, would likely have had 16%+ and 12%+ rates when they bought their first homes. Contrast this to myself, a borderline Millennial/Gen X, who bought houses after the 2008 crash and currently have a 3% mortgage. Makes me wonder why Boomers are the always the primary target of younger generation's ire.
The interest rate at the time of buying is actually fairly irrelevant. What matters is the total lifetime cost of housing. Even though interest rates were high, purchase costs were much lower in terms of multiples of income. It's pretty clear that many boomers have benefited from a very low total lifetime cost of housing.
The low interest rates/high house prices is now turning into a double blow - at least here in the UK (and for anyone that needs to move house in the US) - as low interest rates meant low monthly payments, which has inflated house prices further. Now people are having to refinance massive mortgages at higher rates, the cost is becoming even greater.