I don't know about Harry West appropriating a gag from "Laugh-In," but I have an aircheck of WSBA PD Bob Harper from 1968 or 69, and he must have make a joke about Tiny Tim a half-dozen times in that one day. I recall WSBA playing TT's "Tiptoe Through the Tulips" and I always wondered why. It was never a big hit - was it? - and I don't think WFEC played it. It must have been played just so the on-air PD could make Tiny Tim jokes (which weren't funny.)
By the way, Carlos Santana isn't Puerto Rican, and even if he was, that joke was tasteless.
Imagine what would happen if someone told a joke like that today? They'd torch the radio station.