Agree that they do not ordinarily see humans as prey, but they turn predatory more often than black bears. Still, they don’t ordinarily attack something that isn’t behaving like prey. Running away elicits a chasing instinct in a predatory griz. And while they’ll defend a carcass, they don’t ordinarily go after carrion.
You must be using ‘brown bear’ to describe what I’d call a ‘cinnamon bear’ - a black bear with a brown coat. (A subspecies like Ursus americanus cinnamonum or Ursus americanus kermodei) What’s more commonly called the ‘brown bear’ is the European brown bear or the Kodiak bear. Those and the grizzly are all subspecies of Ursus arctos.
Black bears see humans as prey only once in an extremely long while - not even one a year in this country. Black bears do, however, bluff-charge all the time. And they do start to see humans as a food source, and become a major nuisance when they do. Those black bears stalking hikers aren’t necessarily predating on them - they’re mugging them for their food. That’s what happens when they become habituated to humans, and eventually there’s nothing for it but to put the poor creature down. “Fed bear -> dead bear.”
Not sure about the last part of that sentence - are you talking about an actual pig, or a bear sow?
And yeah, I live near bear country, too. Every few years one will wander into town, and a little farther out, my brother (or was it my uncle? I don’t remember whether it was before or after my uncle passed away) found a bear taking up residence in his tractor barn. My brother has multiple clips from his security camera of a bear sow sniffing around his house. In some seasons she’ll have a cub or two in tow. Drives the dog crazy!