There was a case more than 20 years ago of a similar revolt against a Canadian hospital's automated drug dispensing machine that would only let nurses withdraw the exact dose of medicine a patient needed in a short window around when patient was supposed to take each dose. It was so bad it got written up into an academic article: https://journals.sagepub.com/doi/abs/10.1177/016224390202700...
But Amazon straight up gives camera access to Ring Doorbells to police without user consent or a court warrant. If you're paranoid and a Mullvad customer, you should probably treat Amazon as if it was a part of the US government.
So if you're paranoid, would you fund your account through a card that was bought on Amazon by a family/friend? Instead of linking back to you, it links back to someone close to you, who probably has no privacy/security skills and bought it by asking their Echo Speaker.