Isn't the revised claim still in play, via the following?
3Lz
2A+3Lo
2A+3T
3Lz+1Lo+3F
3F
3S
2Lz
Very creative attempt, I am impressed!

But you know me, I am never easy.

I am going to hit you back with this:
1) 3Lz+3Lo
2) 3A+3T
3) 3F
4) 2A+1Lo*+3S
5) 3A
6) 3Lz
7) 2A
By making the two repeated jumps = Axel and Lutz as the two Triple jump types that cannot be connected in a combo, this now kills your theorem as well. Now, before you jump at me and claim a woman cannot do 3A+3T

, I have this concrete evidence to support it as viable option for women:
http://www.youtube.com/watch?v=3e9g_5e52mk&feature=related However, I do not believe a woman has ever done 3Lz+half Loop+3F so your layout, while passable in theory, is not a practical layout or viable option vs. the one you sought to replace. Essentially, by trying to eliminate one of the two Triple-Triple combos in my layout, you ended up increasing the overall difficulty level of the entire program through a theoretical jump combination so difficult that defeats the original purpose, which was to reduce the risk and increase GOE earning potential. In any event, now I just gave you a revised layout that cannot be connected even in theory, your hands are now tied, even as a math genius.
But Mao could do even better (same base value and possibly a tenth or two of "potential " GOE?) by replacing one of the 3 flip combos with 2A+3Lo and replacing the solo 2A with solo 3F, which I believe was Krislite's original point. So I don't see the CoP incentive for doing two triple-triple combos instead of an Axel-triple combo in this set-up.
Ah, I see why you didn't get my intention. Because I don't believe the tiny little "GOE Potential" is real. It's only a possibility on paper and unlike say Base Value, the so called 0.2 GOE earning differential will most likely be neutralized in practice by other considerations such as the psychological weight on people watching that a program having two 3/3 is worth more than one with two 2/3. Additionally, a point
gkelly brought up yesterday which is worth repeating: "Is 2A+3T necessarily easier than 3T+3T?" Frankly, the answer is no, not necessarily. It may sound counter-intuitive but only people who have experience actually doing skating jumps can relate to, that is an Axel jump creates a very unique thrust on landing that makes keeping your balance rather tricky, especially when you are trying to connect the Axel jump into another toe jump. Toe jump connects well with another toe jumps, likewise, the motion of edge jumps usually connects well with other edge jumps as well assuming no technique issues exists. But connecting edge jump into a toe jump or vice versa is almost always more tricky. It's hard to explain but there is like an additional force working against your body when you try to connect the two.
So even though 2A+3Lo is easier than 3F+3Lo in theory and there is no doubt 3F is harder than 2A and one could even say two edge jumps should connect better. The reality is Mao can benefit from a form of "economy of scale", sort to speak, by focusing on training one single type of Triple-Triple combo for both her SP and LP, it would be a very efficient use of her training time. Consistency comes from practice. If she has to worry about 3 different types of difficult 3/3 combos, that is very distracting. Yu-Na Kim only does one type of 3/3 too but she doesn't bother repeating her 3/3 because it's kind of pointless for her as she lacks enough Triple jumps in her repertoire to make the extra jumping pass worthwhile, which is her biggest weakness and this may start to catch up on her should she continue to compete with more and more ladies doing 3/3 with full repertoire of Triples. So despite what theory suggests, it makes every sense that she does two Triple Flip combinations in her FS. Her coaches understood that and you'll note, she has been doing two Triple Flip combos in her FS for sometime, that is provided she doesn't make mistakes on them. It's just that Mao is not ready to put the Triple Loop back with the Triple Flip yet. She is not ready with all the technique problems she has been having but I am very encouraged by her progress this year despite the poor international results earlier. I think once Mao finally regains her Triple Lutz, stabilizes her Salchow and get rid of the UR image re: her Triple Axel, she would then be ready to tackle & bring back the Triple Flip+Triple Loop combo. When she does, even Yu-Na Kim won't be able to touch her, not for that kind of huge point differential gap anyway, 12~13 points in BV is way too much especially now that jumps tend to earn less GOE as a whole, everything else being the same as before.