How is this possible? I've gotten paper receipts when purchased in store and email receipts when purchased online. How did this fall through the cracks at POS?
I purchased through the Settings app in the phone, which I understand is a new flow that genuinely does not produce any receipts for the time being.
Are you talking about iCloud and such services? I get e-mailed receipts for them every month.
No, newer iPhones will give you a 60 day grace period to choose to add AppleCare through the settings app, the flow is described at https://support.apple.com/en-gb/HT202702 I have no idea if it generates a receipt/email, as I declined.