Ironically given your friend’s experience, the FDA paperwork explains that the special syringes are only required if you want to get 6 doses out of the vial. Normal ones would get you 5 with a small amount of wastage per dose losing the 6th one.
They could happily have tried using normal 1ml syringes & 25G needles to draw up as many of the 200 leftover doses as possible - some may well have been up to the 0.3ml mark.
The syringes can be pre-drawn and administered within 2h so plenty of time to work out how many doses you’ve got left.
The NHS is amazing in most regards but the management can be quite “computer says no”.