does the order of affixes, such as in a ring, affect the single affixes available, such as crit chance?

no

Good question though, I am often between two meh stats to reroll. If I knew taking off one would guarantee a set number of affixes I’d go for.

All logic points to no, but with bliz programming who knows. The game is basically a copy/past of d3, and they figured out the ‘random’ seed there.