Joseph, it appears that you completely misunderstood what I wrote.
My point is exactly about a single family home that you buy as your primary residence. What I show using data and analysis is that the fact that you don’t have to pay rent saves you so much money that you end up with hundreds of thousands of dollars more over your lifetime.
Since you end up so much further ahead financially by buying, your home is indeed an asset, even using the proposed new definition.
Of course this assumes that you don’t buy a house that’s too expensive for your specific situation.