From what Jason Baum told me, Kuti had an OLL parity alg that was faster than any other one out there, but wouldn't tell anyone.

Maybe it's the same as his blindfold method: he didn't have one.

Mátyás used a different OLL parity / 2-wing-swap alg with the same effect as the standard one.

I don't think it's really faster. But he always block-turns his slice moves, so its use as a 4x4x4 2-swap alg may have motivated that choice.

To show a little respect, I won't post the alg. Note, however, that Badie had posted it publicly.

Anyhow, dunno how to find a 3-flip alg simply. But I just found

r U2' x r U2' r U2' r' U2 l U2' r' U2 r U2' r' U2 r' with ACube...