Yes, that's exactly it!
> or because every individual is getting less and less of an overburdened commons?
No, it's not that at all. Why would common services be overburdened? Everyone still gets their water, sewage, electricity, internet, etc., but it's far cheaper to provide per-person.
And with the density you get to build public transit, so people aren't burdened by having to necessarily own a car.