I think it is better if friend trade could be save on our mail if we send, reject or accept it no need icon like TO history, just some words should be ok.
This would be very useful if there are some thing happen on our transactions. Like what if we send some thing to trade to our friend and he/she said they never got the offer our items will be gone is they don't accept/reject. Or if we missing some thing that we trade after we accept, we cannot prove that we do the transaction because there is no logs