It also depends on how the notam is written. If it's ILS ABC NA, then it's not authorized. It'll usually have a reason. If is VOR XXX OTS, and it effects the approach/missed approach it may say ILS ABC NA except for aircraft equipped with RNAV. If there isn't a conditional statement, then query ATC and see what they say. In any case, if there's a question, better safe than sorry.
Another one that comes up, especially in some newer aircraft is an approach where an ADF is required. Some newer aircraft don't even have ADFs, in which case RNAV can be used to identify the fix.