No I'd say something is moving on you, rather than keep going back and forth here I'm just going to describe how I would do this, no insult intended so please don't take this the wrong way but I think you sailed right past a parallel cut and went to the other extreme.
Your test bar is more than stout enough, put the new Bison chuck on just to make sure this is not an issue of the test bar rocking on worn jaws (i.e. Only grabing on the rear of the jaws) reduce the width of your collars on your test bar, they only need to be a little wider than the spindle of your micrometer around .375 or so, use the very sharpest tool you have so there is no ripping of the material and or the tool is not pushing the material away, move the carriage/saddle to the tailstock end just use .001 cuts, cut the outer collar don't touch the cross slide just disengage the feed and move the carriage/saddle up to the first collar and cut that one, do this at least twice before you measure, this insures that the cut was even (i.e. Exact same material removal on both collars)
It takes so little of a twist in the bedways to produce a taper and can be very finicky to set, when I do mine I go to far one way then the other before I get what I want, that's not uncomone it's just a trial and error thing.
Good luck
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