Yeah, I don't think that's true at all. Its just anecdata, but I have several friends in their 30s for which that's just not the case. They're smart and work (harder than I do, just not in tech), but the price of a down payment on a home is going up faster than they're able to save, and they already live relatively frugally. We live in a major metro area, not a particularly expensive one, but the same is true for most of my cousins in the same age range spread across the country.
I feel like my age group (mid 40s) is the last one that could afford home ownership, and me only because I got lucky by working in tech. Other people I know that are better educated and work harder than me are just shut out of the housing market, without some kind of windfall.