“There are no black swans.“

A negative, that can be falsified by a single black swan.

You are mixing up another kind of argument. Claiming there are elephants in the room we cannot see or touch is an example of an unfalsifiable claim.

In fact, claiming there is a quantum collapse, which always looks just like the field equations without a quantum collapse, would make collapse an unfalsifiable theory.

(I don’t believe most proponents of collapse are making that claim.)