Asia is probably the most racially diverse continent on Earth - so to describe someone as Asian becomes even more 
Whether it's race, sex, age, skin tone, nationality, origin of parents. ethnic origin or religion (this list goes on and on), I think what we're talking about here is "categories" - when they are useful / when they are less useful.
I love the idea of appreciating and acknowledging the uniqueness of each one of us rather than a "label" that is given to us by someone else (as advocated by both speakers in the podcast).
However, categories are one way that we make sense of the world around us. Try describing yourself or any other person without using any kind of category at all.
Police officer: Now, can you describe the assailant?
Victim: It was a person, a human being, from Earth, from the land.
I actually think that giving more specificity and accuracy to the categories use (to describe ourselves and others) gets closer to acknowledging our individuality and, hopefully, reducing the risk of generalisation / stereotyping. Which is why my DH absolutely hates it when the Rochdale, Rotherham, Derby, Oxford paedophiles are described in the media as "Asian Men".
This led to one taxi firm offering its customers the right to request a non-Asian??? driver.