As MacLowlife has pointed out, these things go under a variety of names; in the 1950s and 60s the common civilian styles were:

Prince Charlie coatee;
Sheriffmuir coat;
Regulation (or Standard) Doublet;
Montrose Doublet;
Kenmore Doublet (a single breasted version of the Montrose);
Dress Argyll Jacket (called a Dress Kilt jacket if made without cuffs, etc.).

Obviously there was room for a lot of variation, and styling touches, from the various tailors and Highland outfitters, and some of these variations were assigned proprietary names.

As far as day wear jackets are concerned, I remember going into Chalmers of Oban back in the sixties to buy a kilt jacket and being asked by the lady behind the counter if I wanted a plain one or fancy one. No nonsense, and no fancy names. If the coat had flaps and cuffs it was fancy; if not, it was plain.

My, but how things have changed.