OLL vs OLL + PLL Parity Algs for 4x4x4

With lots of slices? If not, please share...it's just that I hate the slices ony me SD
Not that I expect any of these algorithms to be great for speed, but here are algorithms I made by hand which I see using very few inner layer slices (3 or less) and still preserve corners.

OLL Parity (Only)

"cmowlaparity". It is the optimal algorithm in the ftm metric for the single edge flip case.
Rw2 U2 Lw' U2 r U2 Rw U2 x' U r U' F2 U r' U Rw2

Not that I can imagine anyone using it for speedsolving, this algorithm also only has three inner slice turns:
[Rw U L F' U: l' Dw Uw Rw2 Dw' l' Dw Rw2 Dw' l Uw']

Double Parity

Here's a 3 Flip Double Parity I made by hand while back.
Rw' U2 r U2 Rw' x' U2 r' U' R' U' Rw' U2 Rw U R U' Rw R U2 x

Here's another 3 Flip Double Parity (very long, but I just wanted to show an uncommon algorithm with very few inner layer turns).
Rw' D2 Rw U Rw' U' F' R' F R2 U' r' U R2 F' R F U Rw r U2 r' U Rw' D2 Rw

If you ever do cage, you can use: [Rw' U' F' R' F R2 U': r'] [r, U2] :)
 
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