In the UK and ECAC area the generic term used is "RNAV Approach" for any form of GNSS approach (they are all nowadays actually RNP approaches) but the generic term is used ... It's up to you what particular version of the procedure you're looking at and what SOP you use, with what equipment (so long as it and you are approved/authorised), and what minima you operate to. Same as for an ILS - you're just "cleared ILS", then it's up to you how it's flown and whether you fly it as Cat I, II or III procedure.