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He is saying that all of these algs are usable. This case is perfect for solving corner permutations as it is very easy to recognize, so I always check the colours on the corners and decide which alg will permute my corners.
Actually i think he meant to say that it doesnt change the corner permutation because the f triple sexy swaps each headlight with its other half. Which brings me back to my original post in which case is not completely irrelevant as corner permutations are now included.
 
OH CMLLs:

RH:
L' U2 L U L' U L2 U L U' z' U' L D' L' (U D') z
x U' L' U L2 U' L' U R' U' L' U' L' U L2 U' Lw'

LH:
R U2 R' U' R U' R2 U' R' U z U R' D R (U' D) z'
x U R U' R2 U R U' L U R U R U' R2 U Rw
 
R perms:
(right hand) R' U2 R U2 R' F R U R' U' R' F' R2
The other R perm: R U R' F' R U2 R' U2 R' F R U R U2 R'

Learn all of cyotheking's How to finger trick g perms like a pro on YouTube.
 
R perms:
(right hand) R' U2 R U2 R' F R U R' U' R' F' R2
The other R perm: R U R' F' R U2 R' U2 R' F R U R U2 R'

Learn all of cyotheking's How to finger trick g perms like a pro on YouTube.
For the "other R-Perm," you can use the mirror of the first algorithm:
(L U2 L' U2) L F' (L' U' L U) L F L2
...if the bar is on the right. If the bar is on the front left you can use Keefe Fons' RUF algorithm or this RUD algorithm:
R U' R' U' R U R D R' U' R D' R' U2 R'
I recommend trying them all! I personally find the LUF and RUD algorithms to be the fastest.
 
For the "other R-Perm," you can use the mirror of the first algorithm:
(L U2 L' U2) L F' (L' U' L U) L F L2
...if the bar is on the right. If the bar is on the front left you can use Keefe Fons' RUF algorithm or this RUD algorithm:
R U' R' U' R U R D R' U' R D' R' U2 R'
I recommend trying them all! I personally find the LUF and RUD algorithms to be the fastest.
Personally the one i posted is fastest since the LUF alg favours a strong left hand while the RUD alg is hard to adopt with all the D moves. But there is great potential in them all!
 
Collection of Algs/Subsets:

PLL
OLL
ELL
COLL
CxLL
NMLL
2GLL
L3C
VLS
RLS
ZBLL
ZBF2L
MGLS
LSE
BBF2L
1LLL
OLLCP
ELS
CLS
CMLL
WVLS
Magic Wondeful
SVLS
OELLCP
BLL
CLLEF
LPELL
NMCLL
EJF2L
EOLS
F2L
JTLE
 
my ja perm execution for 2x2
R' F R' F2 R U' R' F2 R2

3x3 4-flip of UF UL UB FD
2(R' F R' F2 R U' R' F2 R2 U')
Same as the 2x2 alg with a U' at the end
 
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U R' U' R U R R F R F' R' U' F' U F R R (17q*)

EDIT: this is just an F perm set up
 
COLL G3
R2 U2 F' (U' R2)3 U2 R2 F U2 R2

Probably slower than the common alg because of all the R2s, but this one is fun to execute.
 
Interesting F2L alg I found today, it's probably already known though:
setup: L' U L U' y' R U2 R' U y
Instead of doing the reverse of that to solve, do this:
L' U L U' + normal corner insert
 
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