a nexus drops assisted fire on a linked unidron. It then spends a second order to drop a nullifier placing itself and the unidron within the nullifier's ZOC. Does the supportware stay up? Nullifier rules indicate that you can't execute hacks, etc; nor be targeted by such while in their ZOC; but it doesn't indicate anything about remains in play effects.
As you said, I don't think you've hit any of the relevant cancellation clauses so the supportware would remain active.