SOPs aside; It is good airmanship to acknowledge the 2,500’ RA autocall, then look at your own RA display and then the other side RA display.
You want to be sure both Rad Alts are working; that they are sensible and reasonable and have ‘woken up’ about where you would expect them to - you are approaching the ground, after all*
You want to make sure both Rad Alts are giving the same measurement - odd things might happen with a Rad Alt disagree that could compromise your approach.
It is a good point at which to check the other pilot is still OK and has not passed out or anything, during or before your approach.
* ”poor man’s GPWS” - well said.