Sorry, I don't agree. Contacts are very important for every shadowrunner, imho, this is why I support the idea of free contacts at character creation. But for me a face (in shadowrun) is above all someone who works with his social skills, like a con man. This, of course, will probably lead to many contacts (more easily than other characters, anyway) but there's always the possibility that the character, for example, had to vanish from his former plex without leaving any traces.
And what you need depends strongly on who you are. For example, Michael Westen, from Burn Notice, imho qualifies as a face (and for some other jobs), but he doesn't have much contacts in the city to start with. Works perfectly fine. Thinking a face without contacts is worthless is like thinking a hacker without a dozens high-security nodes he has accounts on is worthless. A good face can MAKE those contacts, as much as a good hacker can crack those nodes to MAKE those accounts.