Yes, the shots without the filter look sharper but none of the shots look sharp. They're all hazy and lack contrast, with or without the filter. Perhaps ther's a lens flare thing going on or something. So I think this is not a conclusive test unless you're trying to figure out the best technique for shots that are going to come out hazy anyway.
Are these shots cropped?
not cropped.
It was noon hour with overhead light, a bit of a hazy day to begin with, then I shot over the river. This wasn't an exercise in composition or getting the sharpest image, just trying to determine if the polarized filter is causing the blur at long focal lengths.
OK, what would be a conclusive test then? I'm satisfied that the filter is no good over 100mm, at shorter focal lengths it's OK but I don't have high expectations.