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After you do CLL, the F3L is normally filled in with Columns techniques in this style of method. It has been known as 'columns' by various people. (Not so much anymore though)

I think that was roughly the way of thinking. Akimoto's method seems to be mostly forgotten, due to (among other things) being a pretty slow method overall, and not really all that applicable to modern solving.

LS+LL scramble from qqtimer.
U2 F' U2 F R U' R' F' U F R U R' F' U2 F U2 F' U2 F U2 R U' R' U R U2 R' F' U2 F U2 F' U F

CO, EOCP, EP.
1. U2 R U2 R' U2 R U2 R' (9)
2. F U R' U' F D2 F U F' D2 F2 R (12)
3. U R M2 U M2 U M' U2 M2 U2 M' U2 R' U (14)
35 moves.

FOP
1. U2 R U' R' U' R U' R' U R U' R' (12)
2. U R U2 R2 F R F' U2 R' F R F' (12)
3. U' R' U R U' R2 F' U' F U R F R' F' R2 U' (16)
40 moves.

I admit this wasn't the best scramble for CFOP (and I would always force the OLL away from dot OLL through 1. U2 R U' R' U' R U' R2 F R F' (11)) but this method is promising.
The CO was my intuition, the 2nd step was just cube explorer (restricted, optimal was 10 iirc), and then EP. So far I can sub 1.5 all EPs I've tried, better than my PLLs, and the one we originally thought to be the worst, Robert found and awesome alg for which I have gotten 1.21 on. All algs are new, and can be improved.
Thoughts?

Sounds decent for OH, as 2 of the 3 steps can be 2-gen while avoiding difficult recognition systems like CPLS. Not sure its worth it for 2H. I've never tried recognizing L5E before.

No, I wouldn't usually solve like this, I was just doing I guess, "pure CFOP".
And do you mean recognising EP? It's very easy. I look for a opposite corner edge corner (ie: like one side of a H-perm.) See where it is in relation to the F2L edge, then solve. And my EPs are 0.6~-1.4~s, whereas for PLL it's .68-1.81. And I've only known full EP for a few days, and the algs are getting nicer and nicer. The worst alg atm is R' U' R U l U2 l' D' R D B2 which could just be R zperm U2 R'. If someone can sub 1 that alg, I'm sure the rest of EP could be sub 1'd.
My normal solving for that scramble (U2 F' U2 F R U' R' F' U F R U R' F' U2 F U2 F' U2 F U2 R U' R' U R U2 R' F' U2 F U2 F' U F) would be;
U2 R U' R' U' R U' R2 F R F'
U2 R U R' U R U' R' U' R' F R F'
U R U R' y' R2 u' R U' R' U R' u R2
35 moves. I wasn't going for FMC here, I was going for nice fingertricks. But I might usually do some EO on the 3rd pair, or other tricks that I may discover later. As I was just pasting raw algs for the proposed method, I thought I'd do likewise with CFOP.
EP recog is just as fast as PLL for me, if not faster.

Well I often recognise the case instantly in EP. I find your description, a description for PLL and EP. I would just make sure the FR edge is at BU, and see which edges are opposite swaps. If none are it's one of 2 cases. I need to look at 3 faces maximum.

Edit: do you have more up to date/faster algs than http://stachu.cubing.net/l2l4/eo.html which Statue basically put together quickly to get move counts?

Edit: do you have more up to date/faster algs than http://stachu.cubing.net/l2l4/eo.html which Statue basically put together quickly to get move counts?