If you’re anti-X then it’s pretty likely that you’re afraid of X. Most people aren’t anti-things they’re not afraid of.
I think the anti-open carry folks are scared to open carry much like the anti-gun folks are scared of guns. You see the same nonsensical arguments from both groups. The anti-gun people are afraid of guns so they want them all banned. The anti-open carry people are afraid to open carry so they want to limit or ban open carry.
If no one can open carry then they don’t have to admit they’re afraid.