I talked with Apple about this today as I’m seeing the same thing. The rep said it usually takes 72 hours after delivery for their database to update. I’d imagine everything will be fine by early next week.
Similar situation for me. Got the email confirmation for AppleCare+ but phone still has a sign up link. When I click the link it says the phone isn’t eligible for AppleCare. I’m a bit nervous since last year my IUP phone was somehow not enrolled in AppleCare initially.
EDIT: Right after I posted this l, the status updates. Ha!