The UK is part of Europe despite leaving the EU (which is of course not equivalent to "Europe").

In the UK it is common for the British to refer to both Pakistanis and Indians as Asian and not uncommon for the Chinese to be lumped in the Asian category as an umbrella term (and also to highlight someone or some company as being specifically Chinese).

I guess it really comes down to habits in particular parts of Europe and which parts of Europe you travel in.