Preach. We did that same math to see what it would look like if we bought our friends house they snagged when interest rates were low and it was a little over $1k more a month.
We're not far from NYC. We're able to get a pied-à-terre in NYC for $1-2k, and pay both the mortgage and a small rental... at the same price as our old rental apartment (1br, now going for $5200).
In fact, we'd probably be able to put the house on AirBnB for extra income, as our area lists AirBnBs for $300+ per night.
There's really little reason for us to outright sell.