In context, a jet engine uses a significant percentage of cruise fuel consumption just idling on the ground. Many airports aircraft can taxi for well over 30 minutes just to reach the runway.
Some record setting flights have been conducted where the aircraft was brimmed on the runway and the manufacturers set minimum times for stabilising the engines before takeoff, circa 30s if I remember correctly.
Issues of blast damage go away if it's propelled by electric power. My understanding is one of the main reasons it isn't often used is that there is a real danger of tipping the aircraft over backwards if the wheel brakes are applied while reversing.
If you want to hybridise an aircraft then starting with electrifying the time spent on the ground is the low hanging fruit.