Didn't get you clearly regarding axis.When you get manual LE, it is tough to get auto LE from the Bank. I have experience with Axis and IndusInd on my father's card. After Manual LE in Axis, after 3 months of getting the card, they increased the limit from 15K to 1.85L. Almost 1 year later, I got a + 1.15L auto LE offer. Indusind rejected my dad's second LE after sending the documents a second time, saying you have the maximum limit.
But for indusind, i experienced different than you. I got manually LE from 1L to 3L and within 2 months I got auto LE 20% which i rejected.
So in ur case, based on ur profile, thats max they can give manually. You have to wait for auto LE which gonna infinite time no one can say when.
There's no such rule that, manual LE affects auto LE. Yes it does but upto 3/6 months only just for cooling period