if the GPWS ever activated as it would have been on the 737
and
without the GPWS logic being triggered
The EGPWS is generally inhibited in the landing configuration . You will get "glideslope" if you're high or low and have an ILS dialled up (or "too low flaps" if not configured properly) but otherwise nothing if things are put out correctly. If you're on slope/on speed and intentionally approaching the ground, why would you want an EGPWS alert?