But much of the journey was not in orbit, it was in transit between two orbits. So I infer that during such, the ground-based positioning was able to only infer their position along not an arc, but sphere-segment of a given distance. (There must be a geometry term for such escaping me at the moment...)
But while each tracking station moves in relation to the spacecraft, it gathers data re: changing distance relative to the spacecraft (arc of the earth) plus the position change of the craft over that time. I wonder if that further restricts the possible location of the spacecraft. Even so, the star-sightings were anything but redundant. Thank you Charles Draper, Susan Hamilton and many others.
OK, I sorta see this. But I recall one major concern was the mascons distorted lunar orbits somewhat unpredictably.