I think you make a lot of assumptions, like the one above, which don't fit my admittedly anecdotal experience. I live in one of the hot markets, I bot a place at the peak of the market before the last crash, and found myself nearly $200k in the hole on paper. That was roughly 10 years ago, and here's what happened.
I lived in it for 10 years, and I just sold it for more than I paid for it. Obviously this in isolation wasn't a good investment, but I did nearly the worst thing, bought at a peak before a crash, and still came out net positive 10 years later.
Second, you said "and renting for $3K per month" which is a mistake because it's assuming rent will not go up in any significant way. Where I live, rent goes up a lot. That place I bought 10 years ago, a couple years back we thought about selling and renting (to get into a different school district) and we realized that our mortgage was lower than what we would have to pay in rent to get a similar place in the same area.
Again, these are just anecdotes, but my experience doesn't fit with the assumptions you are making above.