Quite the opposite, in my opinion. People don't like being bothered by strangers on Facebook. It's weird and creepy, especially so when it's a guy contacting a girl. This could be seen as a disincentive to share if you don't want your face popping up on search results for people outside your immediate network.
It also makes friends who are ignorant or careless about privacy more of a liability. If they tag you in something that's set to 'public', that thing could now be seen by far more strangers far more frequently. There's no good solution to this: You can harrass your friends about their tagging habits, waste countless hours un-tagging yourself every month, or delete your profile altogether.
I could see it being useful if you could give it commands. Something like: "Invite all friends who like Game of Thrones to my Game of Thrones Event on Sunday at 8PM". Then again, that could just increase the amount of noise on Facebook and drive people away even faster.