Both Uber and Amazon accounts involve payment methods and typical delivery / pickup addresses. All these, combined or separately, can be used as a proxy of "the same person" notion.
Well, delivery addresses can be somehow anonymized by the use of PO boxes; names on credit cards, not so much.
I was gonna say.
Of all companies, the systems at Uber and Amazon definitely know it's you starting the new account. They just don't openly mention it, and quietly link your old accounts via monitoring and analytics. As soon as the FBI comes knocking, they're able to provide your current account and all linked accounts. Even the ones they previously closed.
(Not that the FBI has to come knocking nowadays to get that information, but Uber and Amazon are able to provide comprehensive help to law enforcement if it's required.)