As for the disadvantages, it makes logins take longer, forces the use of JavaScript, increases the complexity of code and increases the site size.
You can as long as it stays the same over time. Either lookup salt by username (requires an extra call back and forth) or use a single salt for the whole site, or actually you could have the salt deterministically depend on the username. All of those defeat hash tables.
I agree that the password length problem is not a great benefit, but the benefit that the server never sees the plaintext is pretty good in my eyes.
Logins take longer: a single hash+salt won't make a big difference even on low end devices.
Javascript: fair point, although plenty of sites require it for signing in anyway. I suppose you could make it optional.
Complexity of code: if it's in a library and vetted this doesn't matter as much. Conceptually this is pretty simple, would probably be 3-5 lines of code (2 lines to hash, 2 lines to generate salt from username).
And here you just answered your initial point.
> If the salt changes, you'd need to compute the password using multiple salts, which might have crypto guarantee issues when sent to the server.
Mitigates attacks that exploit the server but not the served js.
See also https://security.stackexchange.com/questions/53594/why-is-cl... for some discussion: the first answer has the same thing I proposed, hashing on both the client and server.
I guess another benefit might be constant size passwords, which may mitigate side channels or sniffing.
How can it hurt? If there's no harm, but some upside, then why not?