The problem is 'begs the question' is not an intuitive phrase to describe the formal definition, so we're going to be stuck with this correction forever.
At this point I feel it has only survived as a form of shibboleth.
>The problem is 'begs the question' is not an intuitive phrase to describe the formal definition
it does if you look at the etymology; beg comes begging off i.e. asking for exemption from something. it's archaic at this point of course but still fairly intelligible in that use; "he begged off doing his chores".
At this point I feel it has only survived as a form of shibboleth.