However, I still think eBay should provide a phone number to call to tell them a buyer has or has not received their order(s) from a seller as yet.
Ebay has something much better than a phone number to report orders not received (because surely, with 2 billion sales a day, you don't think they need a phone number to report that buyers have received their order). Go to your purchase history and find the last estimated delivery date for the purchase. If you haven't received it by the day after that date look under More actions and click 'I didn't receive it'. That opens a case under the Money Back Guarantee. The entire refund process is fully automated.
