I doubt it would be much use as cryptographic operations tend to mainly use xor on two inputs.

VPTERNLOGD basically works by constructing a truth table for 3 inputs.

    | A | B | C |  R
    | 0 | 0 | 0 |  x
    | 0 | 0 | 1 |  x
    | 0 | 1 | 0 |  x
    | 0 | 1 | 1 |  x
    | 1 | 0 | 0 |  x
    | 1 | 0 | 1 |  x
    | 1 | 1 | 0 |  x
    | 1 | 1 | 1 |  x

You pick the values you want for R, then pass this 8-bit value as the operand to the instruction along with the 3 values.

For example, A ∧ B ∧ C would be 0b10000000. A ∧ ¬B ∧ ¬C would be 0xb00010000

There are 256 such tables and many of them can be represented by multiple boolean expressions.