It's interesting you ask this question, Paul.
I have cleaned my corrector with this Bintel ready-made fluid and found it does indeed leave smears and residue.
I was told it was made to pretty much the same as Dr Clay's recipe and wouldn't leave any signs of use
What I do is use the cleaning fluid and then "touch up" any areas afterward by simply breathing on the plate and buffing off (gently, mind) with a dry cotton ball.
Works for me. However, you need to be careful you don't end up with tiny cotton fibres snagging around and under the corrector retaining ring. Not that they do any harm. It just has a tendency to make your scope look like it's wearing a fur-lined parka hood!!!