I'm facing a problem with Mathematica 11.1.1 on MacOS (2016 Macbook Pro). The Thickness and AbsoluteThickness options in PlotStyle do not scale consistently. There is a "jump" around the value AbsoluteThickness[3] (for Thickness the value depends on the image size).
ParametricPlot3D[{{Cos[t], Sin[t], .2}, {Cos[t], Sin[t], -.2}}, {t, 0, 10},
PlotRange -> {{-1, 1}, {-1, 1}, {-1, 1}},
PlotStyle -> {AbsoluteThickness[3.00001], AbsoluteThickness[3.]}]
The problem is visible in the notebook and also in files exported with the command Export, independently of the type (vector PDF, PNG,...) and or resolution (see image below).
This is a regression, because I have notebooks written in version 10 that do not have the problem, but the problem occurs if I reevaluate them with this version. I can't say if the problem was introduced in v11 or in a successive release. The problem is not there on a Ubuntu setup with Mathematica 11.1.1.
Can anyone reproduce this?

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