That is exactly the dilemma. All reflections should not be removed but controlled as many times, those relections themselves do make the product look well.
With textured items, this is not a problem.
It is the very smooth mirrored objects that are a pain to shoot.

This example is below. (not my photo, just grabbed it from the net)
When taken in a group setting, some workaround is possible, but when taken as items per se, I always end up drawing on the photos (excessive retouching on the second image) to get the desired effect