Your instructions helped me fix my problem. Thank you.
I should note a few things which might be helpful to others:
My configuration was set by default, to Drawing Unit: Foot, Paper Unit: Foot. I made the change to Paper Unit: Inch, as you suggested.
In Printing, you instructed I set my Viewport Scale to 1/4096" = 1'-0". The Viewport Scale changes whenever "Fit Drawing to Paper" is selected, so this didn't work for me. However the suggestion was helpful in that it led me to notice the line weight changed according to scale. This isn't the desired behavior, so I checked my Paper Size.
I had previously notice the default for Paper Size was "Custom", and I had changed it to Letter. The change had not stuck, so I changed it again. This time, the line weights behaved as expected.
Thank you again for your help. You may mark this thread SOLVED.