I misunderstood. I didn’t realize you were referring to an email saying that you owe $0. I don’t really consider emails “bills.” But it is a useful notification that your statement is ready. Most of my credit cards send emails with the “your statement is ready” wording. Back when I had my cards set up in BoA to send me eBills, I would occasionally get emails with “You have a new eBill from XYZ” as the subject line where it said my amount due and account balance were $0.00. I found it useful.
Yes. If Chase and Citi had branches all over the country like BoA, I wouldn’t be surprised if they had the same policy. Chase might eventually now that they are expanding and allowing accounts to be opened online nationwide.