Did they really end up posting photos from the car for the fans or was that also just a pa...

I think it was a mix of both. Moondae just turned the posts into a strange dream due to lack of sleep.

They did, them being in the car post event is a different time from when moondae woke up in the car to go to the event

Fansign (event n1) → bird researching (event n2)