As Chris said, open carry is legal in Nebraska so don't automatically assume anyone carrying is a CCW holder. I personally have had occasion to be armed, but I don't have a CCW. Although, personally, anyone who intentionally escalates a situation, or attacks someone who's clearly armed is not thinking clearly.
Once you get past North Platte going West, there is a much higher incidence of people having firearms in their possession even outside the home and I doubt most of those people would bother with a CCW permit.
I think Chris is exactly right. Council will never support the legislation and will muddy the waters as a delaying tactic. I watched the testimony last spring, and this session and her comment about someone being able to use force on someone in their backyard is a mischaracterization at best. McGill is going to be the silent resistance, in that she won't say a word during the meetings (was she even there today?) but will vote against it, all the while being non-committal to her constituents.