This isn't really true in many HCOL areas, a mortgage payment + amortization can be cheaper than renting an equivalent property. On top of that the amortization of your loan doesn't incur capital gains tax.

Even if your property doesn't appreciate more than inflation you can still profit massively from owning just through the loan amortization. Only being forced to sell during a market crash could realistically cause a big downside, but the upside is substantial compared to the risk.

It is also the safest leverage investment most people can do and the cheapest way to diversify away from stock market.

In fact paying off your mortgage is usually better risk/profit calculation than buying bonds as mortgage interest is usually higher than bond interests[1]. If you hold any significant amount on bonds you are better off using that money for a downpayment.

Everyone here is doing the cold hard math on 100% stocks when every financial advisor says you should diversify to reduce risks. Of course if you go 100% stocks and assume average returns will keep going forever (and not, you know, go full 90s Japan) the math will say stocks. But if you add any sort of risk lowering diversification a mortgage is usually the best one you can get.

[1]: I live in Sweden where almost everyone has floating interest rates for mortgages, I know US people can lock in their interest at low or high rates for decades which can skew the calculations

In the US, there's a pretty significant capital gains tax exclusion on the sale of primary residence too.