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In my opinion nut width does indeed make a difference. All my guitars are 1 11/16” nut widths with once exception. I have a Seagull S-6 that with a 1.8” nut width. That is a bit too much to bite off for my rather short fingers, thus it is up for sale on Facebook Marketplace.
So, the difference between 1 11/16” and 1 ¾” is only 1/16 of an inch. If you amortize that across 6 strings (5 spaces between the six strings) that shakes out to a difference of only .0125” between the strings. Hardly even measurable, but if you have bigger fingers, it may still make a difference.
I also think that you must look at the neck design (e.g. – standard C shape, modified low oval, V neck, et.) coupled with the nut width as the two together make a difference.
At the end of the day, you just have to try each one out for yourself and see what you think.
Oh, I also have a 12 String and there the wider nut width is painfully obvious as soon as you give it a try, but that is a different animal.
Hope this helps.😀