Isn't there a setting in the UK with something like 8nm long final, 4nm final, less 4nm short final?
In the UK the only rule we have is that, for position reporting, 'Final' can be anywhere between 0 and 4 nm, and 'Long Final' anywhere between 4 and 8nm.
There is no official definition for 'Short Final' but it is commonly used to indicate that the call is being made much later than it would have been normally, in the same sense as 'Late Downwind'.
If someone called 'Short Final', I would expect them to be almost oner the threshold.
MJ