What wool pad are you using, the LC lambswool types? If so you may likely need to move up to a traditional wool pad, like those from LC.
The twisted wool will give you far more cut but also far more swirls which will need to be knocked down in the proceeding steps.
The idea here is to go for fine, uniform swirls. I think far too many detailers go for instant leveling with little to no swirls left behind but on hard clears with a good amount of correction needed that's just not going to happen. Think of paint correction much like finishing furniture. You need to go from coarse to fine, the challenge with paint is finding the right combo of pad/product/rpm.
So a softer clear or softer paint may take 2 steps to correct the finish while a harder clear will take 3 or 4 steps, considering both have equal defects.
Your next possible jump would be to wet sand BUT that should not be something taken on without a good deal of experience.
Anthony