Pat chops dry, season with 1/2 teaspoon salt and pepper and dust lightly with flour, shaking off excess; discard flour left on the coating plate.
Heat oil in a 12-inch skillet over medium-high heat. Cook chops for 3 to 4 minutes per side until their centers reach 145°F, then transfer to a clean plate to rest.
Lower the heat to medium and melt butter in the same skillet. Cook onion and apple cubes with remaining salt for 7 to 9 minutes, stirring occasionally, until tender with lightly browned edges.
Stir in broth and apple butter, scraping up the browned bits, and simmer for 2 minutes. Add cream and sage and simmer gently for 2 to 3 minutes until lightly thickened.
Stir in vinegar and return chops with their juices for 1 minute over low heat. Serve one chop with apple-onion sauce per portion after the pork has rested at least 3 minutes total.