I've sent fruit in the plastic cups lots of times, and haven't heard that they didn't make the trip, and have been thanked for sending fruit - so I'm assuming they got there in one piece. I also send pudding cups which are in plastic.
I also send cans of fruit, large and small, as they do seem to be cheaper, and send dried fruit on a very regular basis.
"No person was ever honored for what he received. Honor has been the reward for what he gave." - Calvin Coolidge