My hunch is that the city requires more "inputs" to stay survivable (fewer food/water stockpiles available), dependant on inputs. However cities would also be the focus for recovery efforts and disaster relief.
On the flip side, the country has a greater store of natural resources per-capita (water, likely food, heat sources), however would be deprioritized for any kind of support.
People living in the country are both more used to being self reliant, AND more willing to to help our neighbors (in part because out here emergencies can easily become life or death).
But, assuming an extended outage, it'll also be safer, and easier in the country. Until of course the city folk get hungry.
It'll all be good-will and friendly neighbors in the city until the food runs out. Then lawlessness will go through the roof, and, I expect, the dystopian future of so many movies kicks in.
Assuming fuel is scarce, country areas near the city will be raided first. After the first wave of starvations all pretence at civilization ends.
For texas-grid failure, there's at least hope from outside. If the hunger can be averted, country-side remains safe.
But outside of texas is a whole-country grid. If that comes down hunger will kick in, and texas alone won't have the resources to help.
The situation will get _really_bad before it gets better.
Ideally the grid would have the ability to come up one station at a time, feeding, and being fed by, the immediate area. But its rarely going to be that simple.
ditto potato plants - only the roots are what you want, and as they're invisible, if you don't know what a potato plant looks like, you'll have no idea you're looking at food, as OP says.
I could go on for a while, but you get the gist.
Based upon the TP panics during the pandemic, I'd say that just the thought of potential shortages will make some people desperate.
The current city/suburbs/farmland concept will stop working in the event of societal collapse.
If you shoot often, and have multiple guns in multiple calibers, 50k rounds is not difficult at all, especially if you have anything "weird" where you will likely buy as much of the ammo as you can find.
For there to be support, something still has to be working to coordinate it. And if nothing is working, it would be interesting to evaluate how long that would take to come back up. Meanwhile, I'd think the country would be better.
I also think defense is easier in the city as neighbors can band together for local policing, but I think farms would be at risk from criminals who have a gas tank and don’t mind murdering people with no one around to help.