I noticed the same thing in my Consular with the LED unit rattling even with the blade in there. I wrapped the LED unit with electrical tape twice around. Wound up being a little to much tape, as I had to really force the unit back into the hilt and now its pretty much in there permanently.. If you wanna try the same thing, I'd recommend maybe once around or possibly even just a strip of tape around half of the unit.
Yah it still moves around a touch but not very much at all. IT is totally fine when you move it around and is not making any noise. I was just surprised as it was my first saber ever