I'm really skeptical of this claim without good market data, because whenever I've looked at this for my own personal reasons the headline monthly cost of renting is 10-20% higher than mortgage payments.
You have to allow for emergency expense, yes, but if you rent you also have to allow for emergency moving at 1 month's notice (assured shorthold tenancy, yay) and you can't modify the house or have pets.
Not to mention the pension aspects. If you don't own a house when you retire you're going to have to pay a big variable expense from a fixed income, so buying housing is a volatility hedge. Also you have to take pension income, pay income tax on it, and then pay rent.