First of all, before applying, I checked with Airtel, and they told me the Rupay card was available, but during KYC verification, it was showing as a Mastercard.
The bank agent told me that the Rupay variant is there, and you can change once you receive the card like that. Once I received the card, I checked with customer care, and they asked to call after a month. Again, I called this month, and they said the offer is not available. You can check the offer in the mobile app. Nothing can do now like that. I have applied for the card via Airtel, and I have been using the card for the last 2 months.
I think if you have Axis Mobile banking then you can check there and while applying select the Rupay variant. I saw in some screenshots like that.