Greetings
What was the question
RAW DATA MONITORING was mandatory at time aircraft were equipped with a single FMS, to enable the crew to continue the approach on Raw Data in case of FMS failure
if you are equipped with dual FMS with GPS, then you dont need to cross check the raw data as long as ANP<RNP.
But before all this the Approaches MUST BE VALIDATED, and the validation depends on the type on NPA you want to fly, is it Classic NPA overlay, is it RNAV, is it RNP, is it GPS.