OK, I will use your direct quote then... (Nitpicker)
Now QF and NZ have got super accurate RNP approaches using 2 independent GPS systems, FMS, IRS and land based Nav Aids as well to fly between the hills in Queenstown during daytime.
For the Queenstown approach (RNP AR), one deselects VOR/DME updating in the FMGC as part of the procedure.
So, please don't compare apples with pears!
Oh, BTW, I have operated into both Innsbruck and Chambery, in the Bus & Boeing (non RNP), none of these places should be treated lightly.
Good night!