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There is absolutely no situation in which UTF-16 wins over UTF-8, because of the surrogate pairs required. That makes both encodings variable length. UTF-32 is probably what you're thinking of.
I know that both encodings are variable-length. That is the issue I am trying to address. My point is that in UTF-16 it's too easy to ignore surrogate pairs. Lots of UTF-16 software fails to handle variable-length characters because they are so rare. But in UTF-8 you can't ignore multi-byte characters without obvious bugs. These bugs are noticed and fixed more quickly than UTF-16 surrogate pair bugs. This makes UTF-8…
UTF-16 has an advantage in that there's fewer failure modes, and fewer ways for a string to be invalid.
edit: As for surrogate pairs, this is an issue, but I think it's overstated. A naïve program may accidentally split a UTF-16 surrogate pair, but that same program is just as liable to accidentally split a decomposed character sequence in UTF-8. You have to deal with those issues regardless of encoding.