I'd be curious to know your logic why renting is cheaper than buying.
To explain: Even disregarding that a later sale price is an intrinsic inflation recoup, paying a mortgage also means any principle is recouped on sale, meaning only interest is the actual monthly "rent" after a sale, maybe decades later. Finally it's rare property value doesn't go up, which also reduces the costs. Despite all these benefits, you still found renting and investing the difference gave better returns?