Use of carriages.

Alright, this is something I've been struggling with for a while.

Background: I want to have a race of dragonkin that live in the mountains. The mountains are high up, but it's not necessarily steep once you get up to elevation. The dragonkin used to have a means of flight, but have inexplicably lost it in the past thousand years (so they've had to start using roads). Technology wise, they have impressive blacksmithing and forging techniques, and are probably not far away from moving to a gunpowder type era.

It seems like a lot of what I read about pre-automobile societies, they didn't really use any type of carriage/coach for long distance travel (especially if the land wasn't flat) as it wasn't very optimal and carriages/coaches were either mostly ornamental or used for short distance travel. However, I feel like the royalty/nobility of my race would still use them (given that weather conditions aren't always great).

Short story long: Would it be unrealistic/impractical for members of royalty to use carriages through the mountains to travel between cities?