I think you were referring to me. I had applied for axis Vistara infinite. Yeah first application rejected and reason given was incomplete documents. I had submitted only c2c statement. Then applied again wihin 2 days , submitted only salary slips. In person verification was done at office and the card got approved.
Someone in the forum here said it may have been approved as the previous application was faulty. But I had asked the RM at branch too and she said there’s no cooling period as such.
