Are you from UK perhaps? Because UK is the only place I know where "asian" also includes India and Pakistan. Everywhere else India is sort of separate entity and always mentioned separately.
You don't get out much? (in alpha) Asia, Australia, Canada, Europe, Middle-East (sorry, that's a western term) all include west Asia in the definition.
I'm from Europe and never hear indians clumped together with chinese as "asian". When speaking of geography, then yes, but that's about it. It's always "Indian startup", never "Asian startup" for example. Indian food, not Asian food etc. YMMV
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.