Yes, I hadn't really thought that they may mean the coat, but that could well be the case. I know quite a few westies, and my MIL used to have one, the ones I know/have known were/are all quite self contained little plodders (unlike a lot of terriers), so very different from a cocker. And as some say the cocker enthusiasm and velcro-like behaviour would be too much for some, although I still think if you've experienced the love of a cocker then it would be difficult to choose a different breed .... but that's just my opinion.
Actually when we were talking of getting a dog my husband suggested a westie because his parents had had one, and although she was cute the appeal wasn't there for me as I'd grown up with cockers and to be honest I wanted a more doggie-active breed for my family, along with all those cuddles.