If we consider the subject of tape reels seriously, then we find that the only truly good kind is the one with centering hub. That is the only type that keeps the flanges perfectly centered. All other kinds let the flanges slide with respect to the hub, resulting in annoying eccentricity. Simply put there is nothing in their design that assures the precision, regardless of the material they use.
That good kind is extremely rare - I have only a few of them, but as soon as you put it on the machine you know you are dealing with something special. The ones I have are mostly made by Scotch, and there are also the very rare ones made by Mechlabor.
In wider sizes Ampex also made exceptionally good reels. Here are the pictures of reels with the centering hub.
The key feature is the hub protruding through a larger hole in the flanges, and usually there is very precise fit there. All screws are male, and they screw into the hub.
The top picture is of a Mechlabor reel... your chances of encountering it are slim. It exudes the feeling of high precision. Its hub, however, is plastic. The second one is by Scotch.
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