I have used aggressive polishes and compound on the SFX-1 pad by PC before without problems. However, what I would recommend doing is, even though the swilrs look severe, starting with a less agressive combination on a test patch first to see if this will remove the swilrs. The paint may be very soft and only require a light abbrassive polish such as SFX-2 or Menzerna Final Finish on an SFX-2 pad. If this doesn't work, then consider stepping up to more aggressive combinations.
I always do a test patch with a low abbrassive combination just to check to see if the paint responds. Many times I find myself reaching for a more aggressive combination, but sometimes the paint does turn out to be suprisingly soft and light abbrassives are all thats needed. A Honda Civic Type R was a recent example of this, in the UK newer Hondas seem to have very soft paint.