Simon 5 is coming soon!
Simon version 5 is currently in beta testing. It is a massive update, introducing a much-requested feature: syncing the Simon data between multiple Macs, plus a Simon Status service, a Link Checker filter, improved Find filter, iMessage and Speak Error notifiers, a new app icon, and much more.
Important: please note that Simon 5 requires a minimum of macOS 10.12 (Sierra), and will be a paid upgrade from Simon 4 after the beta. Purchasers since September 1, 2020 automatically get a version 5 license (that also works in previous versions).
Re: Testing Sites without Skewing Stats
The suggestion about avoiding skewing stats was to check a special page — which you could recognize and ignore when looking at stats.
Of course, that would just be useful to check that the site as a whole is still working, not looking at the contents of a specific page. As such, you could probably bypass the login requirement.
Another option is to use a Ping service, to just see if the site is operational.
Or you could change the Method to Head, which just loads the header, not any page content.