An OFDM signal is the sum of many subcarriers. Occasionally those subcarriers align in phase and produce a peak far above the average power — typically eight to twelve decibels above it before any treatment.
The amplifier has to accommodate that peak without clipping, which means operating with its average output well below saturation. That backed-off operating point is where amplifiers are least efficient, and efficiency is the single largest determinant of site energy consumption.
This is a recurring operating cost, not a capital one. An amplifier a few percentage points more efficient saves energy every hour of every year across every site in the network, which is why the digital front end attracts engineering attention out of proportion to its size.