Using current pre-fab techniques a half dozen builders can raise the core structure of a single family house in a few days. A friend of mine is in the process of building a house and raising the core structure was the fastest and easiest part of the whole process. I don't see this being either cheaper or faster.
The bulk of the cost in many cases is things independent of the actual house, like purchasing the land, doing the ground work and the foundations and pulling in water and sewage.
There's a typical expectation of manufactured parts or prepared wood for a wood frame building. (It's not instantaneous to season wood for house building, and it's longer than this structure drying)
I have looked into building a house a few month ago, the wait time for the structural lumber components to be manufactured to the spec - 3 months. "Raising the barn" part is hardly the long part.
That's blatantly false, the structure is the easy part.
Are you sure you aren’t thinking of sink drains?
How well it going to work in practice is another matter (and here's where am skeptical).