To me, it's function. There's no functional difference between putting two or three cars in the front, back, side, attached, detached, whatever. It's still the same crappy autocentricity, leading to denuded, depressing drive-by environments.
But people want some degree of auto accommodation. Even in NYC, there's a price premium for attached parking. New curb cuts are basically impossible in Manhattan and landmarked portions of brownstone Brooklyn, but they're occasionally grandfathered on sites where there were existing cuts.
This row of newish townhouses, in Cobble Hill, has two with curb cuts and three without. The two with the cuts are significantly more valuable, and were allowed because they replaced a warehouse with two cuts. And the city isn't allowing this much anymore, so these two will retain a huge price premium:
https://www.google.com/maps/place/10...!4d-73.9919839
These newer townhouses, in Williamsburg, appear to have no curb cuts, or parking. But they replaced a warehouse, and were able to use the adjacent condo parking garage, which they can directly access via private corridor from their homes:
https://www.google.com/maps/place/1+...!4d-73.9658289
This Dumbo mega-townhouse has parking behind the gate, and was able to grandfather parking over the cobbled street, which doesn't need a curb cut. Probably adds $2 million+ to the value:
https://www.google.com/maps/place/55...!4d-73.9874514