Thanks for the suggestion, but we will skip it. I don't think it's important.
It's miniBB. If we copy and add every feature you see in other boards, it won't be mini anymore.
We intentionally cut off many "features" as they provide nothing meaningful in terms of usability. The option you suggest will not be used in 99% and probably may be useful only when admin needs to check some suspicious or invalid action made my moderator.
In all other cases, you won't even check such table.
Here is the solution: assign only trusted and reliable people as moderators. Clever people do not make dumb things, and so you won't need to "control" them.
In addition to this function, I must mention I already have the "big brother" add-on for miniBB, which allows in terms of 24 hours to see any action which was performed, including moderating actions and regular user actions. But this is a premium add-on and distributed only in a circle of privileged customers.