That because as a nurse you were trained based on having the equipment to do so at hand, along with having time. So clearly when able to check BG first you do so. I hope any nurse with access to a meter would check BG before giving sugar regardless of any wristband.
Personally, I do not want most people knowing I have diet controlled Type2 in an emergency as it may slow them down, and does not change any standard first aid. It's on my national NHS records, so anyone in a hospital setting will know as soon as they have my name etc. And if I can't speak to give my name, then I very much expect BG would be checked.
(The training I have had is “mountain first aid” when you don’t have access to anything and it may take 2 or 3 hours to get help.)