Could a New Horizons class probe aimed to fly by a Kuiper Belt object 100 AU from the Sun use its camera, built to image the Kuiper Belt object, to also measure distances to stars (and distant Solar system dwarf planets) better than what specialized observatories using the so called Solar parallax of 2 AU can do?
If a specialized instrument is needed for parallax measurements, what demands (e.g. mass) would it put on the spacecraft for carrying and operating it? I wonder if it makes sense to combine the two purposes.