y2
R2 u' L D' R' U R' F
y' U2 L' U2 L U' R' U R2 U' R'
y' L' U' L U' R' U R U R' U' R
M U R U R' U' M' R' F R F'
U' R U R' U' R' F R2 U' R' U' R U R' F' U2
next: U2 B2 R2 D2 L B2 U2 R B2 D2 F' D B' F' U' L D2 B' R2

D' R' B' F2 U2 R U R' //C+1
R' U R U2 R' U R //2nd Pair
y' L' U L R U R' //3rd Pair
y' R U2 R' U' R U R' //4th Pair
U r' U r2 U' r2' U' r2 U r' //OLL
U R2 U R' U R' U' R U' R2 U' D R' U R D' U2 //PLL
next: L' B L2 F2 D' B2 R2 U' R2 U2 L2 F2 L2 D B' U2 L' U' R' F' L2

D2 R' F D' U L R B' R' D2
y2 /lol
F U' F' R' F R2 U' R' U R U' R' U R U2 R' F' /F RU practice
R2' F R F' U R U' R' U' R
U2 r U R' U R U2 r'
R U' R' U' R U R D R' U' R D' R' U2 R' U2
next: U B L F' R2 F' L' U R2 B2 D2 L2 U2 R' L2 D2 R F2 B2 U2 D'

R D L2 U' r U r' D2 B' L
U L' U L2 U' L' U L' U' L
U R' U2 R U' R' U' R
R U R' U R' F R F' R U2 R'
l' U R' D2 R U' R' D2 R2
D L2 F B' R2 D L F2 B2 L2 U F2 D B2 U' D' F2 B' D'

y' D2 U R L' D
y' U L' U L
D' L U' L' D
y' U' R' U2 R U2 R' U R
U2 L2' U2 L U L' U L2
U2 R U R' U R U' R' U' R' F R F'
U' R' U R' U' R' U' R' U R U R2 U
next: D' L D' R D' R' F B2 U R2 F2 L2 B2 D' L2 D L2 D2 B L'

you're claiming it is wrong but basing it on your own personal opinion of what a scramble is
the cube states are different even though you might not consider them to be

Yes, there are 4! ways to permute the four corners. Four of them are "solved" (disregarding AUF). 4!/4 = 3! = 6, hence 1/6
Similarly, there are 4! different ways to arrange four corners when they are oriented. Only one of them is completely solved, thus PLL skip with no AUF is 1/24

y'
R2 D2 F2 R y' R U R' D2
U' L U' L'
y R U2 R' U2 R U' R'
y U R' U' R U' R' U' R
R U R' U' M' U R U' r'
R U' R' U' R U R D R' U' R D' R' U2 R' U2
next: U B2 D2 F2 R F2 L R F2 U2 L2 D2 F D2 B' L' R' U' F2 U' B'

D' R' (F B') R' L2
U' R U' R2' U R
L U2 L2' U' L
R U2 R' U R U R'
y' U' L' U L
U r U R' U R U2 r'
M2' U M2' U M' U2 M2' U2 M' U'
next: R L' D R2 L U2 L2 D' F2 D2 F R2 F' U2 R2 F' U2 B R

x2 y'
L R D R2 D R F R2
U2 R U2 R' U' F U' F'
R' U' R U R' U' R
U R' F R F' U2 R U R'
U2 R U2 R2' F R F' R U2 R'
U' x' R U' R' D R U R' D' R U R' D R U' R' D' F'
next: U' D B2 L F2 B D2 F' D R2 L2 F2 B2 U2 F2 U R2 L2 U2

x2
R2 D R' F' U R' U' R U' R' U R D2
R U' R' L U2 L'
U R U' R' y U' L' U L
y' U2 R' U2 R U' R' U R
U R B' R' U' R U B U' R'
R' U2 R U2 R' F R U R' U' R' F' R2 U'
Next: U D2 L F R B' U2 B2 R' F' D' B2 U' R2 F2 U B2 R2 U' R2 D2