It is "The International System of Units" but the Americans are interested in themselves only and therefore such nonsense comes out of. The IS is U and not V, E, J or whatever.
By the way - because the Americans do not want to get used the SI system, are smooth one or two Mars probes the target passed by.
So it is quite useful to the world wide standard, for systems, to develop international work ...
>This interchangeability does have the advantage though that if I hand write a V and it looks like a U, they will mean the same thing
No, it is not the same. Temperature (T) can't be °F, °C, K ... or speed (V) can't be mph or kmph. The unit of speed is mph and the unit of temperature is °F,°C, K and the unit of voltage (U) is V. Very Simple
If you mean, it's the same, remove the °F sign of your clinical thermometer, write °C on it and lets see what happens if you ask your Doc.