Normally no. You should only need 2-4Mb (depending on the method of installation).
I might have an idea what is going on. How did you update Admin Tools? Did you use the "UPDATE FOUND" button inside Admin Tools' control panel, or did you use the Joomla! extensions updater (either the Extensions Update Found icon in the Joomla! control panel, or the Manage Extensions, Update menu item)? The latter is not supposed to work properly with Admin Tools Professional and I specifically warn against using it in my release announcement. The only supported method for updating Professional versions of our software is using our own Live Update, the UPDATE FOUND button inside Admin Tools' and Akeeba Backup's control panel pages.
I have been unable to trace it or get conclusive evidence that this happens, but it seems that -sometimes!- using the Joomla! Extensions Manager's update method to update Professional editions of my software does screw up your site. If you can confirm that this was what happened, it will help me confirm my suspicions and try to debug Joomla! and find out why it causes this issue. Please note that if my suspicions are correct, I will be tracing a Joomla! bug, not an Admin Tools bug; at the time when the update runs, Admin Tools' code doesn't execute (in fact, isn't even loaded).
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!