Since you were using the Tailstock, it is possible that the Tailstock is 0.004" off centre, away from the Toolpost.
Or the centre in the bar was off centre! If you drilled it in the 3 jaw, it might be!
The best way to check this is:
Take a piece of bar, as long as possible to fit betwen centres, and pass through the mandrel.
If possible, use the 4 jaw chuck and set to run true as closely as possible.
Face the end, and centre drill it
Reverse the bar and face and centre drill
Remove the Chuck
Fit a soft centre.
Offset the Toolpost by 30 degrees
Skim the centre to true it up
Remove, and if the other centre is soft, repeat. If the other centre is hard, fit it to the Tailstock
Mount a DTI on the Toolpost, and set to centre height..
Mount the bar between the centres.
WITHOUT rotating the bar, at any time.:
With the Saddle at the Headstock end, set the DTI to Zero.
Traverse the saddle to the Tailstock end, and note the reading.
Based on what you have said, so far, the DTI is likely to read – 0.004".
Adjust the tailstock until the DTI reads Zero at both ends.
Take a test cut, and hopefully, the diameter will be the same at both ends.
Do tell us how you get on
HTH
NEIL beat me to it!
Howard
Edited By Howard Lewis on 03/03/2020 17:33:29