Not sure of Axis, But I got this on internet. But for Union Bank, I have got my points on request after closing the card too. Link: https://cleartax.in/s/how-to-close-axis-bank-credit-card
If you dont have any other relation with Axis (other card which provides Edge rwards), then likely it will get lapsed
Use them before closing, closed my magnus last month the customer service guy was quite clear points will be lost as soon as they file closure request
Link: https://cleartax.in/s/how-to-close-axis-bank-credit-card