Met someone who holds Axis Olympus (migrated Citi Prestige). He suggested I write to Axis Premium Experience, maybe they will relent? So I did, and this was the result.
"At present, the Axis Olympus Credit Card is an exclusive offering and is not available for public sourcing. It was introduced as part of a specific migration program for select Citi customers and is currently not open for new issuance outside that framework."
And in addition,
"However, we value your loyalty and the significant spends on your existing Axis Atlas Credit Card. While we are unable to process a request for the Olympus card at this time, we would be happy to explore other premium options that offer similar benefits and privileges."
By this they probably mean they'll offer the Privilege card lol.
So there seems to be little chance that this card will be ever released to the public. Else they would've by now. So Axis has no premium offerings for the "common" public and it will probably remain so.