There are also bushings in the spindle and skis that can be worn that can contribute to sloppy steering. I have found on my polaris sleds, the bracket holding the bottom of the steering post was pretty worn or loose; that's another place to check.
If you have someone else turn your handlebars, look carefully at all the linkage; any place where you have loose parts will contribute to steering; just have to play detective and find 'em all!
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