Yeah line the cup with a few small strips to start, and add to get the desired "stiffness" that you want.
I used lithium marine grease as that's usually my go to, but white lithium should work.
I talked to you on the discord a long time ago regarding shimming the stock shifter basket with either a stock shifter assembly or the CS one.
Still felt better than a TWM assembly
I'm yet to find a better solution than greased duct tape to use as a softer shim
My current setup and would...