In principle, renting is always cheaper over the longer term than buying a house

One of the risks of renting is that you get priced out of your own rental market. One of the benefits of owning is that you lock in your housing cost, especially if you used a fixed rate mortgage. So it could be much cheaper over the long-run to buy than rent, and thi seems especially true in an inflationary environment where endless fiat chases scarce assets