A Professor of English is a more appropriate person to edit my writing than someone who left school at 15 with no qualifications,taking them both at face value. However some people who drop out of school go on to make a great success of themselves and may actually have excellent English. Hmmm...now I think about it, I think the current status and abilities of the native speaker should be compared to the current status and abilities of the Professor, rather than the achievement of a 15 year old with the achievement of an adult. That drop-out might now also be a Professor of English. We don't know.
...but assuming that the native still has the English of an unqualified 15 year old then, of course, the non-native Professor would be the better choice.
The fact that the native speaker is monolingual is not relevant though.