approved by the FAA to fly GPS approaches provided an TNP of 0.3 or smaller is used.
I think that is 'RNP of .3 or greater'
Depending on your navdatabase provider, you may not be able to select some of these waypoints if you are not capable.
Much of the terminology is in transition, so you will see a multitude of phrases that CAN mean the same thing, or may not. Unless you specifically see "GPS required", AR, SAAR, there are many ways to achieve RNAV-1.
ie RNAV (GPS) is not the same as RNAV 1 (GPS)...
(and of course, the local agency may have driven the terminology, or I find many mistakes on plates as well...)