This is a common IELTS exam question: do you play any sports?
How do you answer that if you're a professional swimmer? In my mind 'playing sports' implies team sports (I play football, I play basketball, etc.), you don't say "I play swimming".
So, the the point:
- Do you play any sports?
- I do/I don't...
Yes, they do expect you to answer "do you..." questions with "I do, I don't...".