Well, all of the parity corrections except for the single edge flip are caused from the very same thing: two swapped edges. Hence, that should be enough simplification in itself.

It turns out that having a two-edge swap accompanied by a 3X3X3 PLL (permutation last layer) algorithm is the only way to correct the two corner swaps due to the fact that the two edges swapped are caused from inner-orbit even parity, while the two corners swapped is caused by outer-orbit odd parity.

The opposite corner “swap” (not permutation-which preserves the orientation) can be done in the same amount of moves as the adjacent corner swap alg (only the corners being swapped will not stay oriented if done with less moves).

As for the single (pure) edge flip for the 4X4X4, it can be done in 19 quarter turns, instead of 25.

I mean its possible that 3 articles of clothing will have to be removed at once – that makes for how many? 2 rounds?

I propose another version one for more than 2 players:

1) 2 players are randomly selected (spin a bottle, draw lots, whatever). They get seated back to back, so that they can’t see each other.
2) They then make a gesture – thumbs up means cooperating, thumbs down means defecting.
3.1) If they both cooperate they keep their clothes and 2 replacing players are selected
3.2) If A cooperates and B defects, A keeps their clothes and get replaced, B has to remove 1 article and stay.
3.3) If they both defect, both have to remove 1 article and be replaced.

The first obvious problem seems to be that if everyone cooperates, the game comes to a halt, but I am actually more concerned that it might deteriorate to everyone defecting.

Gonna have to try this out when I get a chance and keep thinking about how to avoid single-solution situations without making the game complicated (with drunken strip games, simplicity is the holy grail).

BTW, you said it’s in April so happy early/late birthday.