Are you saying they are being broadcast to the network before it has reached sync? If so, is this from the Bitcoin-Qt or sent via API with bitcoind?
Yes - and this can be done with bitcoin-qt as well. Assuming you don't have a copy of the wallet on another computer then there is no problem doing this as tx you make are stored in your wallet (so it won't try and spend the UTXOs again).
Ok, just so that there is no confusion here.
Obviously, if you copy your private keys from Bitcoin-Qt and broadcast a transaction from another client then that transaction will be seen in blockchain.info without the local Bitcoin-Qt being sync'd.
But what I'm asking about is if you have the Bitcoin-Qt client and it is not currently sync'd, but then create a new spend transaction. Are you claiming that the transaction is then broadcast to the network immediately ... before sync is attained? That's different behavior than I remember seeing before. It should only take someone two minutes to observe the behavior, but at this moment I personally am using a system on which I cannot install Bitcoin-Qt/bitcoind so if someone could verify and pipe in that would help.
[Edit: I'm specifically referring to DEFAULT behavior of the Bitcoin-Qt client, and not a command line/API transaction.]