The 802 Bitcoins is just their hot wallet. They may have a cold wallet with addresses that aren't well known.
Let's hope it is in-fact a bug or something. What's concerning is that the support has not yet posted anything about it, not on that thread or on twitter.
https://localbitcoins.com/forums/#!/general-discussion:error-sending-out-bitcoins
Thomas.LocalbitcoinsAdmin 2hrs ago General discussion
Error Sending Out Bitcoins
Our apologies. The developers are working on it – and while we do not have an ETA – please be assured that balances are safe and we'll do our best to get this fixed ASAP.
Sorry for any inconvenience this is causing users
Only problem with that is that the hot wallet was emptied yesterday: https://blockchain.info/tx/aaa64e2f1730fbf400df9cca30efbabf8b1dc437a6b00e516edefe4eb7bcc4f1
287 confirmations already.
Edit: By yesterday I mean on 4/24/15.