Skeletal horses spawned by SkeletonTrap horses allow interaction with their inventory and allow to be saddled, but do not allow to be controlled by a player.
To reproduce:
Summon a Skeletal Horse using
"/summon EntityHorse ~ ~ ~ {SkeletonTrap:1}".
Kill the riding skeleton and sit on the horse.
Open the inventory. Expected behaviour would be to open the survival/cretive player inventory
Further:
Put a saddle in the saddleslot of the horse.
Try to control the horse.
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Probably wrong duplicate link.
The behaviour comes from the fact that a SkeletonTrap horse is already tamed (Tame:1b
), else it would unseat the skeleton riding it.

It was linked to MC-89924 because of this:
Put a saddle in the saddleslot of the horse.
Try to control the horse.
We could also mark it invalid for including multiple bugs at once or as WAI because tamed horses, especially if you can saddle them, are supposed to show the horse inventory.
Do you have a better solution?

You are right