Just a thought, how about drilling the pilot size right through with a known good drill bit, then the pilot drill has nothing to do except guide, and doesn't take up any of the available 'push' or torque. As you drill this advance pilot hole you may be able to sense whether the C.I. is harder at some levels than others.
Another thought; if the pilot drill has blunted, and so slowed progress, then perhaps the resultant light or non-existent loading on the hole saw teeth has caused them to become blunt in turn.
Thought number three (crikey, that 's a record for one day) if all else fails, use the saw groove already produced as a guide, and drill through with the largest drill it will accommodate, at close centres all round the groove, then knock out the centre from the other side. On reflection, that's not the best thought of the three, but just a few small through holes would break up the cut and let some swarf grains escape.