looking around at what though? there's nothing else out there. when Sagan proposed to turn the cameras back to look at earth, ultimately resulting in the Pale Blue Dot and family portrait, there was push back that looking back at the Sun might ruin the sensor. the response was essentially, so what if it does. there's nothing else it will ever be close enough to that would require using the camera.

New Horizons was the closest attempt at what you are suggesting in that they were able to aim for another body after the Pluto fly-by, but that was just luck in the alignments.

The only thing I can think that might be useful would be having observatories with opposite trajectories for ever increasing parallax info, but I don't know what that would actually be useful for. The fact that nobody is doing it means people much smarter than me don't think it'd be useful either.