Then, the conciseness argument is more of a wash sort of a tie for both ends.

In that sense, optimization for programming languages is somewhat similar to editing for conciseness in natural languages.

In my opinion, three important features that the domain specific language gives you over just coding up special types or operations in a general purpose language like C or C are the conciseness of the representation, the ability to do type checking or run time checking or otherwise have safety built in, and the ability of the compiler or run time system to do optimization.