We have the omlet auto door. Our large BOs have no issue getting in and out although they fill the space.
We don't use the door, it remains open 24x7 mostly due to the climate where we live -- for extra air flow and ventilation.
We have used the auto door in the past both by set time of day and by automatic light. We had issues with consistency in open and close when allowing it to function by natural light even when facing East/West orientation, so we then always set the open and close time, which of course has to be changed periodically based on twilight rise and set times.
We also had prior issues with the auto door closing on a chicken (3 different times) because not enough of their body was in the sensor area. If they only had a neck sticking out or their tail feathers in the doorway, the door would close on them and not reopen. We were mortified when it caught their neck and didn't reopen. Chicken was ok because I was there to quickly react and hold the "open door" on the pad. We recalibrated and had the same issue. If we choose to use the door for this winter, depending on the need dictated by temperature, we will use the manual door.