Just to pursue the adzing topic a bit more. I have had access to many examples of adzed finished surfaces that were hand hewn, the reason for the special finish on the surfaces seemed to be linked with the special position of the timbers in the structures, and the tremendous amount of work put into their fabrication.
The 2 examples that come to my mind are the anchor beams in the Dutch Barns at UCV which are 14" by 24" by 30feet, and the large 20" sq. by 30 foot beams spanning above the wooden guides supporting the upper end of 1846 Muley vertical saw blade also at UCV. In both these cases the beams were the only ones nicely adzed and finished in the individual timberframes.
Other than that the exposed undersides of the second storey floor joists usually small rectangular timber would be adzed and then hand planed and beaded on the lower corners.