Hi, colorado. I hear your frustration. The best way to get this moving is to connect with our live support team. They can look into why the status isn't updating correctly and assist you in getting those batch emails back on track.
You can revisit this thread if you have follow-up questions.
I resolved this myself. There is a setting in Preferences > Reminders where you set how many days you want after or before you want to be reminded of those invoices. I changed Past Due Invoices to 1 day and Almost Due Invoice to 0. This changed which invoices showed up in those categories in the Collection Center.