I got my H480 on a pre-order and received it at the beginning of June 2016. Yes, it had a neck strap and, yes, I always use it.
I know that some folks have had issues with the neck strap fouling the sun-shade, etc. Yes, I've found it to be a bit fiddly too, but not so much as to make the option of not using the neck strap a better option. Sometimes when I hand catch (something that I occasionally do if the ground around me is rough) I find having the neck strap on invaluable allowing me to take one hand off the st16 and allowing me to be poised to press the red button once I've caught the aircraft.
If one hadn't come with my H480 I would have purchased one.