In article , Ken Grunke says...

When offsetting the tailstock for taper turning, or using a special
tailstock fixture for the same purpose, the 60 degree center points
don't fit well in the centerholes of the work being taper turned.

Your approach is novel and I'm sure it works well.

However, did you ever wonder why this was not done, back
in the days when tailstock setover was a routine approach
to manufacturing tapered items?

Basically, even though the centers don't seem to fit
well, they still allow a true cylinder to be turned on
the part.

Those old-time folks really knew their stuff.

Jim


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