Once the light starts to come up there is not enough time to set up gear. RO Standard practice is to bring the vehicle to a stop and turn off the engine. There is usually not enough room to deploy a tripod within or on the vehicle. The L's MTF curves are better though. If you believe in Telekinesis, raise my hand.
Differences are greater at longer focal lengths.
All three are very good at 100mm, but performance drops at 300mm, where the L is best. A 300mm is a good length for animal closeups. I sometimes used a 2x tele-extender but vibration shooting from a car or van is a problem. You definitely don't want to shoot everything at 300mm though. You also want landscape shots and shots which put the animals in a setting.