A lot of C.A.R. seems to be designed around specific, but fairly common problems encountered by LE. The stance is similar to "field interview" position, for instance. If one trains left/right well enough, it appears to be an excellent tool for rounding corners as well. It certainly provides some retention advantages also.
This isn't surprising since Paul Castle was quite focused upon improving the survival rate of officers in the field. Not everything in C.A.R. has a ready application for those acting in citizen-self-defense or military applications.
As such it provides an excellent tool for some things, but it's not the final word on anything.