If you want a serious answer, as a k programmer ||\|x (which I assume your example is based on) is instantly readable as producing a bitmask of ones up to the last. ie 0 1 0 0 1 0 -> 1 1 1 1 1 0. Or a max scan from the right on integer arrays. I don't know how to even describe that in English succinctly, let alone most mainstream programming languages. (Haskell - reverse.scanl1(||).reverse - ok, not too bad)
You've sort of answered your own question. None of those three would obviously mean the same thing to me. And that's just one possible combination. If you consider all possible combinations of 4 symbols in K, most of them will have a distinct but obvious (and useful) meaning that is extremely hard to summarise in a single word.