Liquid N2 is plenty cold enough. If it's too cold, that should be easy to fix mechanically.
I'm more interested in who will be doing the injections and what training will be necessary for them to handle the vaccine in such a way as to not destroy it. I can see where LN2 refrigerators could be placed and serviced, but, I'd be surprised if my local pharmacist would know how to handle the vaccine without specialized training.
How many times can vials of vaccine be exposed to an open fridge door, for example.? How much time does the vaccine remain viable between removing it from the fridge and injecting it? Injecting a liquid into your arm or buttcheek at -100F might cause it's own problems.... What injection temperature is safe but still leaves the vaccine effective? How do you mass-educate care providers?
I'm sure it's all solvable.