According to @2020clarke-doaneMorality, Realism is the conjunction of aptness, belief, truth, independence, and face-value, after Clarke-Doane—roughly, the view that answers have a mind-and-language independent truth. This is a fundamentally different issue from objectivity, which is about whether some question has some unique or determinate answer.
For example, the Parallel Postulate question—given two straight lines passing through a third straight line such that, on one side of the third line, the sum of angles with the original two lines is less than 180 degrees, do these original two lines eventually intersect?—has a different answer according to different geometries. An anti-realist can answer this by switching frameworks, while a realist switches subject matters: “Where a relativist might claim that the Parallel Postulate is true according to the framework of Euclidean geometry, and false according to the framework of hyperbolic geometry, a realist will claim that that the Parallel Postulate (syntactically individuated) is true of the and ” (28).