fwiw, you can easily see the contents of these tabs from your inbox. Each tab shows a preview of their two most recent emails, so you can easily monitor the activity. I check them directly 1-2 times a day with a single click. Things rarely get overlooked.

It's a pretty elegant design, which is why I'm so frustrated that Gmail has been the only service where I have found comparable functionality. I'd like to move away from reliance on Google.