Robi,
SCHRS is a measurement system so you can't change the number it produces unless you change one of the elements that gets measured. You can have a situation where the double handed sloop handicap is the same as the single handed cat rig - my Stealth R is (maybe that should be "was") 1.03 in either format. The F16 version is different because the main is larger and the jib smaller - although it's always surprised me that the difference is as much as 0.98 against 1.02.
The main reason the rule came up with 0.98 vs 1.02 was that the reduction of one crew, but only removing 3.7sqm of sail (the jib) made a big difference. All up sailing weight of the boat went from 257kb (crew at 75 each) to 179 so the single handed boat is 30% lighter, but, you went from 18.7sqm (main at 15 + jib at 3.7) upwind sail to 15 sqm which is a difference of approx 20%, so you have a more powerful boat.
it gets even worse when you consider the Spi as well !