Hi Bob.
If it makes you feel any better, none of the commercial 10.5" metal reels I have are competely "true" - they all "shimmy" some, some more than others. I have some plastic 10.5" reels that are much better. On a couple, I have loosened the screws holding the flanges, re-aligned the flanges with the hub, and re-tightened, and the reels are better. However, the lack of "trueness" doesn't affect the tape pack when the tape is played (that is, I get a nice, even tape pack, even if the reel flanges are a bit out of true). Fast winding does cause a bit of vibration because of the lack of true on the reels, but it doesn't seem to affect any important parameter when the tape is played.
John C.