Actually it's stupid to upgrade to 0.2 ATM that we are so close to a new jb release; you gain basically nothing and might risk all the waiting.
The jailbreak is previously confirmed to work on 6.0.2. Nothing has been confirmed for 6.0 itself although it's probably assumed that it would also work. There's no point in not upgrading to 6.0.2. They could close the signing period right after 6.1 releases, and somehow the exploit for 6.1 doesn't work anymore through some random late second fix. If they decide to release it, it will work on 6.0.2. You may as well upgrade to 6.0.2 for the small wifi fix and just for the idea of being up to date. In any case it's a moot point to bicker over.
Just because they said they jailbroke 6.0.2 doesn't mean the final release will see all firmwares from 6.0.0 to 6.1 jailbroken on all devices. 6.0.2 jailbreak twitter pictures could have been of a failbreak, not the final release.
Remember, iOS 5 was jailbroken on 5.0.1, but not 5.0.0, and on 5.1.1, but not 5.1.0, on the iPhone 4S.
The jailbreak game is getting trickier thus staying put is likely your best bet. I think it's safe to assume that they will prepare the jailbreak to exploit 6.1, and if not, then 6.0.2, but nothing is set in stone until they say so!
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If I am still on ios 5 because i don't want to lose my jailbreak, should I go ahead and upgrade now, or would it be safe to wait until a jailbreak is released for sure?
I would advise being on iOS 6 to at least some extent very soon. If you stay put, you run the risk of missing an applicable signing window and potentially having no iOS 6 jailbreak.
I think we will see the jailbreak within a few days to a few weeks after this coming Friday with 6.1 being released, so you may want to upgrade sooner than later and sacrifice being without a jailbreak for a little while now so you can have one with iOS 6.