TM, MDA is only ‘safe’ after the FAF and up to MAP (plus a small distance for climb entry).
One of the points to be made was that crews should not consider MDA as a safe altitude as in same level of safety associated with MSA.
With an EGPWS warning, a climb to or maintaining MDA is not an acceptable solution, the climb should be made to the area / sector safe altitude (SSA). One of the reasons for a warning could be due to a navigation error, such that the aircraft is not within the area covered by MDA, thus the only safe manoeuvre is to climb to the higher SSA.
I guess that you understand this, but many pilots do not. The problem is aggravated by the differing uses of ‘safe’ without specifying the situation – my mistake in #77.