HAWK21M, if the above represents the mod state of your aircraft, then why not propose to management that the new modes “can be enabled on any EGPWS unit by changing a jumper wire on the unit to enable display of the highest terrain value ahead of the aircraft, display obstacles, and provide aural and visual warnings for a possible flight path into a tower or obstacle higher than 30 m (98 ft) above terrain” (quote from the link in #11).
This change also requires updating the database to include obstacles; usually done regularly?
See the note about incidents in India - link #8.