I believe most builders would agree with Ken that wood type is a much more minor factor in determining the tone of a dulcimer than it is to the guitar family. That said, I would suspect that, other factors being equal, the dulcimer with the redwood top would have a slightly more mellow tone than that with the sycamore.
Hearing a dulcimer before purchase is certainly the better way to choose but, if that's not possible, Ken's advice is pretty solid.