Long-video Omni assistants often fail not by inventing content, but by misbinding real evidence: they hear the right utterance and see the right event, yet attach it to the wrong speaker, moment, or modality. These almost-true errors evade standard video QA because local evidence remains valid, so item-level scoring can reward both a supported claim and its near-counterfactual. We introduce a counterfactual event-binding protocol that constructs paired supported/counterfactual claims from the same audio-visual event evidence and evaluates them by strict-pair accuracy. We instantiate it as OmniHalluc-L, to our knowledge the first benchmark for long-video Omni hallucination, with 3600 single-claim QA items from 638 long-form videos averaging 24.16 minutes and covering 256.87 hours. Under this protocol, open-weight Omni models remain weak at pair-level binding: Qwen2.5-Omni-7B reaches 32.06% and Qwen3-Omni-Instruct reaches 41.55%, versus 76.54% for a closed-source reference. To narrow this gap, we propose MPRC (Modality-Perturbation Reliability Calibration), a frozen-backbone calibrator that combines native confidence with response shifts from selected audio-negative probes. MPRC raises these two models to 36.22% and 51.09%, respectively, and improves target-adapted MCQ accuracy on OmniVideoBench and WorldSense. The code is available at https://github.com/ZexDong/omnihallucL-mprc.