If the dialog box reported by MG is
“OnyX is trying to control you computer using accessibility," then the meaning is completely non-sinister.
OnyX relies on AppleScript for some of its functions. Many normal actions in OS X can be automated through built-in AppleScript commands, but many cannot. Some of those falling into the latter category can, however, be accomplished via simulation of actual user input actions: the clicking of buttons, the selection of menu items, etc.
This is known as GUI-based scripting, and it makes use of OS X's "accessibility" features. In versions of OS X prior to Mavericks, the ability to run GUI-based scripts required the System Preferences ->
Accessibility [or, earlier,
Universal Access] pane's
Enable access for assistive devices checkbox to be checked. Once that was done, any application could access those features in its scripts, and that setting (apparently) survived system upgrades.
In Mavericks, though, for security reasons, that's no longer the case. Each application wishing to use these accessibility features must be duly authorized to do so by the user. See
OS X: Using AppleScript with Accessibility and Security features in Mavericks for full details.
If any aspersions are to be cast, they should probably be aimed at whoever at Apple was tasked with the wording of the dialog box.