Those algorithms don't exist. The reason the Niklas commutator is of order 3 is because it does a 3-cycle of centers. That fact becomes more apparent if you perform it on a supercube.
The reason that those algorithms don't exist is because you're asking for an algorithm that does an overall odd number of swaps. On cubes, it's simply impossible for only two pieces to be exchanged.
EDIT, AGAIN:
For some reason, I had it in my head that you were working with a supercube. I suppose there is an algorithm that does a swap of two indistinguishable centers and also swaps the two centers that are not solved. That can exist, it's an even number of swaps. But I'm not sure that's what you're looking for, I don't know what you're using this for.