Cant play right now to try it, but it did the orange ring spinning around animation and sound effect like usual when you're scanning, just without the "pointing" beam of light. (like it usually does when there are no anomalies or objectives left)
Now that you mention that orange ring, I remember seeing the same thing, with no beam pointing to the next objective. I played both KDF and Federation last night, so I have probably confused/mis-remembered one for the other. I definitely recall the V key not working, but that may have been on my Fed character. I do remember the orange ring with "0 anomalies" when I expected it to point to the next objective.