@VONMAN you are assuming core failure is what kills a ski. I agree that is a reasonable guess, but I'm not fully convinced. Or at least I'm not convinced that core failure is always the cause, not anymore. Back when skis were made from earlier generations of polyurethane core I would probably agree with you. However, with the better core materials being the standard nowadays for the high end skis (PVC's, SAN's, PMI's, etc.) I think there's room to argue that the carbon/epoxy may be the first to fail depending on the specific ski, materials used, load case, etc... I could even argue that the laminate is the dominate point of failure.
Here's my logic... ski designers are always weight conscious, all else being equal. Ski design is by and far an evolutionary design process, meaning that most design changes are field tested by trial and error. The desire to pull out weight affects the laminate as well as the core. There is a reason a ski has 5 or 6 lb/ft^3 PVC foam in it, most likely because someone built one with 3 or 4 lb/ft^3 core and it broke. I suspect the very same holds true for the laminates used, meaning at some point in time somebody tried to make a ski with less laminate and it broke.
So with that logic in mind, both the laminate and the core are being pushed to an appropriate limit of the materials respective strength. And, here's the kicker... the higher end foams have a much higher strain to failure than carbon/epoxy. At least that's true for PVC and SAN. I'm not sure about PMI, it may as well I just don't know to much about it. I'm generalizing as the fiber orientations and the direction of strain has a big effect on the carbon/epoxy, but we're talking order of magnitude difference here. So, in the right loading condition, the core may just keep "stretching" thereby forcing the laminate to pick up a higher percentage of the load, potentially all the way to failure.
My comments here are purposefully general. Your comment seems to be specific to 'core crushing'. Is core crushing really a problem with slalom skis? I have no idea. I know it is with trick skis as they get heel dented quite often from flips, but I've never seen a dented slalom ski, other than a handle pop. If it is a problem then I would think a slightly higher density foam insert under the foot would also be a very appropriate solution.
Don't get me wrong here... you can make excellent ribbed skis as well as non-ribbed skis. I guess I'm just suggesting that structural design is very complicated and takes a fair bit of effort and testing to get it right, and some of the generally accepted assumptions may not be correct.