The Glowforge ignores the stroke width on vectors and cuts down the middle. Make it as wide as you want for visibility. Make sure you set Inkscape preferences though to measure the object from center of line rather than width of the stroke though.
I do appreciate the challenge of seeing thin strokes though and I have widened them on a occasion for visibility.
I have always set it at 0.100 pixels and color it red to mark it as a cut line. Hard to see on the screen unless you magnify it. I haven’t really had a issue with width.
I use Inkscape. Generally, I set mine to .206 mm (your .01 in = 0.254 mm) and I have no problems seeing it in the GFUI. If you’re only cutting one thing, and it is small, perhaps the issue is that it is small and is being displayed to scale in the GFUI?