The only real difference is that in major populated areas, the land it sits on tends to be rare and valuable, which allows its value to keep up with or even exceed the rate of inflation.
On the other hand, you have to live somewhere and, absent having access to somewhere you can live for free, you're going to have to pay for housing one way or another.
The second biggest advantage is that you can fix your housing costs. Good luck finding a rental that will have the same monthly payment for 30 years, but it's not hard to get a 30-year fixed rate mortgage.
I remember distinctly in 2008-2009, even as the housing prices were crashing, our rent went up by $90/month (outpacing inflation by 7%), and that's when we made the decision to buy a house (the $8000 first time homeowner credit/subsidy helped also)