Don't know about 727's with afterburners,
although some of the models I flew could certainly have used it!
The heavier gross wt versions (up to 210,000lbs) did have the -17R JT8D, with automatic power reserve, that boosted engine
thrust by 1000lbs in the event of an engine
failure.
Interestingly, The MD80 has a similar type system that in addition to boosting the thrust on the other engine, also retracts
the wingtip landing lights, supposed to improve climb by 150fpm!