Okay, google finally helped me find what I've thought would exist out there -- a commercial system for measuring the CFA of the camera.
The german company Image Engineering
http://www.image-engineering.de has a product called camSpecs (hardware and software bundled) where you can measure the CFA. It's been discussed briefly in this forum before. It's quite smart, instead of using a monochromator and having to shoot like 80 pictures in 5nm bands they have a standard slide projector with filter narrow band filter slides so you sample several bands per picture. They have a never LED-based "active test chart" in the "camSpecs express" product.
However it's very limited in terms of profile creation, it's more of a system for making DxOMark type of measurements. The only thing you can make in terms of profile is to create a basic color matrix, no LUT stuff, and no ICC or DNG profile creation. So it's still not a complete profiling system.
The price? €9750, plus €2800 for the calibration device, plus VAT. A bit steep considering you'd still have to write your own profile making software
Their reference page contains companies like Canon, Nikon, Adobe, Fujifilm, Foveon etc, so I imagine that some of these systems are used by some of these companies when making profiles, but not without additional software...