Dilemmas occur when you place the thermostat prob in with the eggs.
I myself would never place a thermostat probe in a tub with eggs, it just doesn't make any sense to do so.
If the thermostat probe is where it is supposed to be then the thermostat will do its job keeping the same temperature, and not fluctuate just because one egg tub is close to pipping and throwing off a little more heat.
The temps in that particular tub might increas a little but the incs temperature would not, meaning all of the other tubs with eggs in them would continue to stay at the desired temperature.