All transactions after fork have been included in blocks on both blockchains.
As example TX ef7aba30ff92401067824d066cda071d885beda411d60df993b34e8af3804881
On the right blockchain:
http://chainradar.com/xmr/transaction/ef7aba30ff92401067824d066cda071d885beda411d60df993b34e8af3804881
Block # 202619 2014-09-04 04:29:05
And on the wrong:
http://monerochain.info/tx/ef7aba30ff92401067824d066cda071d885beda411d60df993b34e8af3804881
Block # 202615 2014-09-04 04:42:06
So, if you send coin, even on the wrong blockchain, you get payments on both forks )))
Yes, but in normal fork-situation (if bitcoin-altcoin were forked), you transaction CAN but not MUST be included in fork.
I have seen a lot of forks already ))) and normally transactions doesn't go afar
Sure, specially you can connect to both forked coin-networks and send this transaction.
But this situation is good. If you send coins to exchange, you get coins, even on wrong fork and after blockchain rebuild your coins will be on the exchange.