In our network we use power reduction. But for only one case having nothing to do with overshooting.
Initialy we start the sites with 2 TRX configuration. Then due to traffic increase we have to go for more TRX. Then as it is said we go from coverage mode to capacity mode (3 to 3.5 dB less DL power due to combiner losses). In order to avoid this change we sometimes start the site with 4 dB less power. This way from the very begining we could measure the coverage we will provide in the future.