Magnus,
I have to take that comment from Blancpain with a grain of salt.
Carbon fibre (or CFRP, to be precise) is actually quite a mundane material. It is merely - simply put - very fine strands of graphite, usually in a weave, inside a polymer (plastic - polyester, vinyl ester, etc) matrix. The main challenge is to optimise the alignment of the fibres to achieve high stiffness-to-weight ratios. Which, for watches, are already easily achievable with far more "conventional" materials IMHO.
In the end, any precision will come from the moulding/forming process which mainly affects the matrix, so it's would seem to be an exercise in precision plastic moulding (and plastic seems to be material non grata in watches). Precision moulding is a massive challenge in itself, but not exclusive to "high-end" companies such as Boeing and Lamborghini.