Quote from gip3:
First, I'm not sure what 'common sense' has to do with it. Common sense doesn't really tell me whether the second system is twice as good, or 100x as good.
Now, you are talking about performance comparison given risk aversion (which the sharpe and the classic kelly assume to be risk neutral). Given that risk aversion is subjective and varies individual to individual, I don't believe you've made any contributions there.
Finally, as you now want to do 'how much better' than just 'is it better', are you really saying that a system that does 600 trades is EXACTLY 1.2x better than one that does 500 trades? There's nothing to base this 1.2x being the right factor at all.
Anyway, you've yet to demonstrate how your SPS would rank systems significantly better than IR in any meaningful sense.