Ok, I was about to change the 3 longer routes of the SAT to rwn, but when I was looking at the aspect of integration into a regional, national or international network, the 300 had nothing of it, maybe could be seen as "regional distributor" with many local routes attaching to it (if it is not still local), 
https://hiking.waymarkedtrails.org/#route?id=7027992&map=11.0/46.1202/10.7979
The 500 is sharing the way with the Sentiero Italia and connecting to the Via Claudia Augusta, but apart these connections it isn't really part of a regional network either, with a loose end and offering few alternatives (it's only "doubling" the SI)
https://hiking.waymarkedtrails.org/#route?id=1524702&type=relation&map=8.0/46.2797/11.4308
Also the 133 is crossing the SI but not connecting to anything else and is limited locally in its extent: 
https://hiking.waymarkedtrails.org/#route?id=7396852&map=10.0/46.4874/11.0591
I would see your example Ultner Höhenweg as local, its start and end are just a few kilometers apart, and it isn't long enough to be considered a regional ring, it remains in the same area.
Anyway, I think it can be justified to make them rwn because they are connecting multiple local paths and are longer than the others. I did not upgrade the E349 which is significantly shorter (23km).
See https://www.openstreetmap.org/changeset/133411469