something like this what you had in mind?


I tried to show the vertical studs behind the posts.

quick explanation,
cutaway to show that there is intermediate sheathing of some sort, mostly to separate the insulation cavities from each other

outer cavity blown in insulation, or perhaps it could be an interface for a clay-based outfill. inner cavity fiberglass

one disadvantage to horizontal nailers instead of studs is that you will have to frame in supports for electric boxes and such likes

however, with the long running cavities chasing wires would be extremely fast and easy, no need to drill through a stud every 16 inches!

Overall, these two factors probably about even out.

another thing is that special care would have to be taken to position a nailer in an appropriate spot where cabinets are to be hung.

the framing would be tricky around windows, unless you would be relying solely on the exterior part of the frame to support them, in which case it would actually be quite easy.