Throughout history the ties between what is now the UK and what is now continental Europe are deep and inseparably intertwined (both culturally and geographically); it is absurd to to claim that the UK is "always whimsical" (whatever that means) and does not reflect "true" European values, whatever those may be. Look even closer within the UK and the Republic of Ireland...how is one European and the other not?!
The UK is and will foverver be part of Europe, period. This has no bearing on your opinion of who is or is not a "true European."
But how will a true Scotsman feel about it?
These are all quite clearly defined. Some (many?) may think that the EU is the same as Europe, but this is plainly false.
If I were in Switzerland, Norway, Iceland, Serbia, Macedonia, or the Ukraine would it not be appropriate to say I was in Europe?
They're free to run things the way they like, but please don't keep telling that UK is Europe... especially after they chose and got the Brexit... not a single true european will endorse its mistakes.