Only a third of polled people thought so, so fire that market exec, he's a bit thick.
Die Hard, known for it's small budget, didn't think it was right to release it during December, which in modern cinema is a bigger month than June, despite being a Christmas film. Makes perfect sense!
It was released in June because, as an action film (as well as a Christmas one) it fits with being a Summer blockbuster, so the studio most likely went for the summer release.
Remember, it's the studio that's most likely going to determine when the film is released, not the creator... Who may well have wanted a December release.