Nonetheless, had they been sufficiently sharp to have simply reverted to raw data, they could have been quickly back on track
In my experience as a simulator instructor for many years, it is still common to see crews so locked on the MAP and magenta line, that even with raw data up via RMI VOR/ADF needles in front of them, the raw data information meant nothing to them - because they didn't know how to check the RMI readings quickly to get fixes from a bearing or radial.
A quick 30 second switch-over to the VOR/ILS HSI mode - coupled with an RMI reading and a DME reading, would have proved instantly where they were in relation to the MSA. But we regularly saw crews so rusty on basic radio navigation aid position fixing techniques, that it became readily apparent
they did not know - or had forgotten - how to interpret their basic nav instruments.
So whatever raw data they had available, and in theory were supposed to be monitoring, meant nothing.