I wouldnt object because I believe the owner should be aware of any players most up to the date status they can get before accepting a trade.
I think it is wrong to do so however, even though I wouldnt object.
On another funny note that pertains to this thread, a few years ago I played in a 10 team H-H AL only league. We had that one owner who always offered stupid trades like his 3 scrubs for your Pedro type ripoffs. He would never pull those trades off the board even weeks after you ignored them.
After the All-Star break, one of the superstuds he was trying to aquire got injured. The owner immediately clicked on the accept button to give his done for the year injured player away.
The owner that offered the lopsided deal petioned the league to veto the trade. Every other owner was disgusted with his annoying 2-3 2nd tier player for our superstud trade offers though. For some reason nobody objected to that trade
I dont object because it is each owners responsibility to be aware of injuries. Sometimes the owners that attempt that get their fair due however
"Son we would like to keep you around here but were trying to win a pennant this year."