Issuance of a credit card is at the discretion of the bank and its policies that are never known to even the branch employees. Even if you maintain 1Cr, a bank may decline to issue you a credit card. Even if you don't have an existing account with the bank, the bank may still issue a credit card.
Basically, nothing is guaranteed in any bank. If you want Airtel Axis CC, then check if your Airtel app shows any offers. Or try with someone else's number. Even Jio, VI or BSNL. Then apply from there. If you are lucky and have a good CIBIL score, you will get the card, even without an Axis Bank savings account.
Good luck! 🍷