@Gargron You're choosing between having to make sure the guitar is upright so it doesn't topple and having to get the neck through a narrow bit to hang it.
I seriously doubt a wall hanger will damage the neck unless it's been designed weird, the guitar is super cheap or the guitar hangs there for a decade without being touched.

I guess it's also less likely to get hit by temperature or moisture changes from an open door if it's in the middle of a wall.