Interesting,
I think could be branch specific.
But generally based on the account variants you hold ( neon/platinum/black) , you will get the cards pre approved and LTF.
I wouldn't recommend disregarding kotak altogether and rather try a different branch.
You can also park enough money to maintain neon/platinum/black and use acti money to earn upto 7% for the amount parked. And the rest money can be deposited with a different bank like hdfc to take advantage of that also.
But also take into consideration your spends with the CC you want, kotak cards can be useless for lower spends on them.