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Azure and AWS are interlinked in some key ways, so the Azure outage could be the cause of the AWS outage reports on Down Detector.
If Amazon is correct and AWS isn't down, then this could be an interdependence thing — many companies use both AWS and Azure servers for different services.
Either way, for people who rely on Azure- or AWS-backed services, it probably doesn't matter which one is causing the problem — all that matters is they can't do what they need to.