Renting cheaper than owning sounds like a very short-term view.
My dad explained to me the nice thing about a 30 year fixed mortgage in simple terms: 10, 20, up to 30 years later ... your "rent" is the same.
It's a simple experiment to see what a person's rent was going for 30 years ago in your community and then see what a person with a typical 30-year mortgage would have paid each month 30 years ago. Because one of those two is still paying the same monthly amount today and about to have an asset they can pass along to their kids or spouse (or cash-out if they want to retire to live in a trailer in Eloy, Arizona).