They're supposed to be near the same dimensions so that there's no "wobble" factor ... but, gunk can build up on both sections and cause them to become "stuck", so if a good cleaning isn't sufficient, then a little sanding down may be in order (along with a fresh application of grease). That application of a light grease to the posts would keep them from "screeching" when swiveled, plus allow for easier extraction.
That would be my first inclination, before considering changing out the entire post/bracket system.