What is "Connection Logging Enabled" and should I care?

I have been having problems with my Apple Mail with it taking me Offline. To correct things I have used Onxy and run the tasks under Maintenance - Rebuilding: Cleaning: Misc Options. However, that's a bit of a pain and I'd just as soon find a better fix.

Note: My wife uses Apple Mail on the same computer, but in her own account, and she has no issues with it.

This morning I started with Offline and loaded up Onyx. I was about to run it when I got the 'ding' signaling incoming mail and, sure enough, I was back online. However, I also have new information at the top of Mail. Now, in addition to the number of messages and the number of unread, it says "Connection Logging Enabled". What and why is that?

iMac (Retina 5K, 27", 2017), 3.4 GHz Intel Core i5, 8GB RAM, 2400 MHz DDR4
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Canon MX710 Printer
Epson Perfection V500 Photo Scanner
Time Machine on 1TB LaCie USB-C
Carbon Copy Clone on 500GB OWC Mercury OTG Pro