Jesseths set question

When I engage the command skeletons the gold border of the skill stays that way until the target is dead. Normal.

The Jesseths set says that when the target dies that the skeletons will be automatically commanded on a nearby target.

Well when this happens the border drops leading me to wonder if they are still “commanded”

I understand that it would drop if there is no one nearby, but if they are in a pack shouldn’t the border stay gold?

I fell like to keep the damage bonus up I need to spam CS to keep the border up.

Any clarity would be grand.