Hello, BrianHart. 

Yes, you are correct. The option to update the customer billing address automatically isn't available. I understand how the workflow you're looking for is beneficial to your business.

Through our Feedback board we can pass a request here about this feature. Just go to the Help icon and choose Send Feedback Online. These requests and suggestions are forwarded to the Product Development Team, and I want to let you know that your voice matters, and each update our developer team creates are considered that it benefits our customer's business. 

You may view this article to know more about the new and improved QuickBooks features in QuickBooks Desktop 2022: What’s new in QuickBooks Desktop 2022. This contains insights to help you run your business smoothly.

Please let me know if you need further assistance with your QuickBooks account. I'm here to help you out whenever you needed me. Have a great day!