I still think it’s a “Debug Bar” or even a “Developer Toolbar” - even with the Preview and Simulation features in it. If editors use it to clear the cache of a page or content simulation in my opinion it’s still for debugging. I don’t think it’s meant as a “editor tool” , at best it’s a workflow issue when it’s used that way.
However this just adds one more reason it should be renamed.
I’ve done some research and basically all systems call this a “Debug Bar” in various forms:
Symfony: “Debug Toolbar”
Laravel/Statemic: “Debug Bar”
Wordpress: “Debug Bar”
Magento: “Debug Bar” or “Developer Toolbar”
Neos: “Debug Panel”
Joomla!: “Debug Console”
BoltCMS: “Debug Bar”
Grav CMS: “Debug Bar”
OctoberCMS: “Laravel Debug Bar”
For CMS’ without native Debugging Tools I just used the most downloaded/active debug plugin/extension for the CMS as example that is a bar like the “Admin Panel”.
Good topic, and yes, naming things is “hard” (in general there is no right or wrong, I’d say). I strongly recommend dropping the name “Admin” in this tool or multiple tools. The “Admin Panel” It’s a website toolbar or a website panel. I also agree in not using “Frontend” in any connection. Just some random ideas (although I agree that the research from @bberger is great):
In-Site Toolbar
Website Panel
Page Inspector
Website Console / Site Console
Side note on the TypoScript setting: Activating this thing via TypoScript is a stupid idea IMHO (however, we need to check if the output is HTML, and not JSON for example), should be doable via User Settings / User Group Settings as a separate field.