Remember that we did not completely uninstall Admin Tools in order to preserve the settings. Since the settings (web application firewall and component configuration) are preserved the wizard must NOT show and the download ID MUST be carried over. This is what you observe which is a good thing. Anything else would be a bug.
As for your other question: there are no absolute rules which apply to all sites. What is "good enough" for
most sites is the settings you get after running the configuration wizard with its default options.
Finally, you mention something important:
shut down by repeated attempts to break in that overload the website host resources
What you describe here is a Denial of Service attack. You cannot fight it with software installed on your site by its very definition. The problem occurs because your server's operating system and web server are overwhelmed by the number of requests. That's long, long,
LONG before Joomla and, by extent, Admin Tools have any chance to run. This tells you that you need to put
something in front of your server. That
something is a DoS mitigation service such as CloudFlare. These services monitor the incoming requests and if you seem to be under attack they act as a floodgate, keeping the flood of malicious requests from ever reaching your server.
Regarding your last post, did you touch anything in plugins/system/admintools?! You can't possibly be getting this message unless you have some
really old files in there. Try removing that folder and install the Admin Tools package again. If that fixes your issue call your host and tell them to stop restoring arbitrary files on your site without your consent.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!