If the card is real super premium , then it won’t be possible to get LTF
Just high fees card doesn’t mean they are super premium .
Still this are the list of some high fees cards that users manage to get LTF , with negotiotion , some source at top level , or NRV
1) HDFC Infinnia
2) ICICI Emeralde
3) IndusInd Indulge
4) IndusInd Pioneer Metal Heritage
5) Kotak White Reserve
Below are the actual super premium cards , which are rarely given LTF based on negotiation or even with NRV
1) Axis Magnus
2) Axis Reserve
3) Amex Plat Charge
The first set of list is still manageable, except Infinnia on that list rest all are pretty bad cards with almost 0 rewards.
Second set is the one which is really difficult to manage LTF , you will only see 1/2 users who managed to get those cards LTF .
Now coming to your question , there is no such particular way of getting a card LTF , the approach needs to be changed for different card for some you approach the bank with your relationship with that bank , to some you approach basis your relation with other banks .