No, definitely not they are network provider only,Having Airtel visa and Airtel master card for same customer id will treated as different by the system??
in my case the thing was I applied for One My Zone through their WhatsApp link which opened a different (old)portal and application got through but I have not received any response from them for about two weeks, then I Called Cust Care and they could not track that application either and suggested me to apply afresh via new portal I did the same and that application was approved in four days, before I was able to receive that physical card, I got msg stating that my previous application was approved as well, I thought they merge that application but to my surprise it was a different card with different limit as well, as Axis first creates new Customer Id with every application for persons without no banking relationship with them, then after few days it merges the same with existing cust id if any, but in my case there were my two cust Ids alloted and working at the same time, till it was merged by system upon my new card application, then they decided to close One. Hope I got all yours query answered.
One piece of advice for who applying for second Airtel Axis Credit Card you never know when your dreams turn into nightmares with Axis Bank, so proceed with application if it's really bearable with the worst in mind.