The only one that I can think of is that an eventual MITM can't sniff your password, and then try to reuse it with other sites (as he only has an hash specific for a site, and not your password). Is that all?
"If you are worried about the computational burden, but still want to use key stretching in a web application, consider running the key stretching algorithm in the user's browser with JavaScript." make it sounds like I can use a lighter hash-solution server-side if I use key stretching client-side (at least to me, non native here so probably I'm just reading that wrong).