Following on from Brian's post where the use of polarizers was discussed, I have done some tests and here are my findings.
I had stopped using polarizers some time ago after similar tests which produced the same results. Shot with a 7D and Canon 24-105 or Sigma 180 macro lenses. On a tripod with aperture priority at F 11 and Iso 400. Manual focus. Lens Pro polarizers which aren't the very best but seem to get reasonable reviews for those middle of the road filters which most people would find affordable.
Straight from camera shots except for a little bit of unsharp mask after resizing for internet use. Evaluative Metering.
Using a polarizer which took quite a bit of the available shutter speed. I couldn't get a really sharp focus. Shutter Speed 1/100
The same scene without the polarizer but with one stop of negative exposure compensation.Shutter speed 1/640.
With a polarizer and Sigma 180 macro lens. Sharp focus was impossible to achieve even with manual focusing. Shutter speed 1/100
The same scene without a polarizer but with one stop of negative exposure compensation. Shutter speed 1/800
Some hand held landscape scenes where the difference isn't so great. With a polarizer. Shutter speed 1/500
And without a polarizer but with a little bit of exposure compensation. Shutter speed 1/1250
Based on these results, I will not be using polarizers in the future.