Pat chops dry; add 1/2 teaspoon salt and pepper. Lightly flour, shaking off excess; discard flour left on coating plate.
Heat oil in 12-inch skillet over medium-high. Cook chops 3 to 4 minutes per side to 145°F in centers; rest on clean plate.
Reduce to medium; melt butter in same skillet. Cook onion and apples with remaining salt 7 to 9 minutes, stirring occasionally, until tender with lightly browned edges.
Add broth and apple butter, scraping browned bits; simmer 2 minutes. Add cream and sage; gently simmer 2 to 3 minutes until lightly thickened.
Add vinegar; return chops and juices over low 1 minute. After pork rests at least 3 minutes total, serve one chop with sauce per portion.