Oops! Sorry! Got my own knickers in a knot there...
Yes RNP10/5 is Basic RNAV and RNP1 and below are PRNAV. Although some equipment fits allow PRNAV down to one tenth of a nautical mile, these are meant mainly for terminal operations - somehow, I don't think they'll ever be used for en-route horizontal separations of a few hundred yards! Europe does intend to reduce horizontal separations as a means of dealing with increased congestion, though; leading to progressive introduction of RNP1 with ADSB as a minimum performance requirement for huge areas of controlled airspace.
Although current use is mainly confined to Europe, these are international standards; they could, and probably will be introduced anywhere that traffic gets a tad congested.