To pick a nit, no: he said in the film (in response to an admirably direct question about the nickname's origin), "I used to throw the javelin."
I still think that the nickname was perjorative, even in the early '50s.
But like everything else in that period, he probably didn't really take offense to it.
I imagine he thought it was funny and didn't get riled up about it.
I mean EVERYONE had a nickname. Hawkeye, Trapper, etc.
It's like being in the Mafia. You haven't made it until you have some moniker like "The Chin", Johnny two-times", The Plunge", "Joe Bananas", you name it.