Good question, actually.
While I've been out of the circuit too long, in practice I recall there was a normal correlation between max start EGT
for a given engine and residual EGT and OAT. (Not so much PA).
And I should think that a conscientious engineering organization could employ this relationship to create an alert level, objective being to flag an engine that is approaching a need for maintenance - despite no redline exceedance.
All of which might create another tug-of-war between ops and engineering.
