The spell says:
You control the mount in combat.
It is also loyal and intelligent. You can also talk to the mount, well, use telepathy. It understands your language, and you can communicate telepathically.
There is nothing else in the spell that dictates how the mount will behave. It can be loyal without necessarily being obedient. Maybe it views you with complete devotion and will follow you around like a puppy, fetching your slippers or whatever. Or maybe it's completely loyal to you, but doesn't think you have the sense to come in out of the rain and thinks you need protection from yourself.
Jeremy Crawford, talking about find steed, said essentially, "you can command your steed however you would like and it will follow your commands to the best of its ability." It's reasonable that that would apply to find greater steed as well.
You should definitely consult with your GM.