I agree with Robert. Damascus is a different creature, because of possible differences in penetration hardness (and/or properties) between layers of different materials. Even though the carbon may diffuse or "migrate", some of the other alloy constituents won't. So, depending what's in the mix, what quenching medium was used etc., a Rockwell test may or may not be very useful. An extreme example would be a very fine grained Damascus mix of high carbon air hardening steel and wrought iron.
... another good example of how industrial standards don't always apply.
As side notes, I also think that certain alloys can hinder carbon diffusion/migration,... but you'd have to check on that. Also, a scratch hardness test wouldn't be any better than penetration or vice versa.
Impact testing at various angles (or chopping), shock, edge holding, toughness, (springiness or rigidity etc. depending), etc... tests are what's needed.
... "macrostructure" tests.