Shader that always renders at least one pixel thick

Unity Engine
1

Hi. Maybe I have better luck here in the forums.
I need a shader (or any hint for something better if a shader cannot do it) for a LineRenderer material so that the lines are at least 1 pixel thick regardless of how far the 3D coords of the lines are away from the camera.
What I attempt to get is what I asked in this question.

2

Rather than do this in a shader, you can create a mesh with a non-triangular topology using Mesh.SetIndices().

3

Thank you. That seems to be the right way.
Any idea on if that option is available to Unity Free?

4

As far as I know, yes.