The benefit of this is that it can allow you to tunnel through an HTTP proxy (e.g., like in a corporate environment). Many HTTP proxies only allow traffic through to port 80 and port 443. The benefit of ssh on port 443 is that if the proxy is handed a CONNECT verb, it will transparently just transmit data between your client and the remote server, irrespective of what that content is. In fact, this behaviour is what makes HTTPS remain secure when going through an HTTP proxy.
You can use this to tunnel ssh through an HTTP proxy. Putty supports this out of the box, but if you're using openssh, you'll need corkscrew also.
You can always try to tunnel to an ssh server on port 22, but most proxies will hand you HTTP403 on any CONNECT request to a non-port 443.
More info at http://daniel.haxx.se/docs/sshproxy.html.