Additionally, at very low power settings gas turbines usually have much less margin between their operating conditions and something going wrong; that's one reason why it takes a LONG time to spool up from idle power - you can't just start chucking extra fuel flow at the engine because it can't take it - whereas at medium power settings you get better accels because the engine can be fed fuel much faster.
The 'power after 8 seconds' cert rule arises from this behaviour, as does the adoption of a flight idle setting higher than 'ground idle' for many engines.