Sort of, but in practice not really (particularly when interest rates are higher, like now). The only meaningful way to realize that extra wealth is to sell. But then you’ve got to live somewhere, but everywhere else has (on average) gotten proportionally more expensive too. The only way to really capture that wealth is to downgrade or to go to an area that has underperformed, neither of which are typically appealing options, nor are they generally aligned with our notions of “increased personal wealth”.
What’s really happened is that non-homeowners have effectively gotten effectively poorer since their only options are to pay increasingly-large rents or buy at inflated prices.