Remember that if we're speaking about Loki also, it's not only the core lights he will need to worry about - there are people around who will know his face. Disappearing street signs won't get notice in the way he and Sunset got notice before, but it will still by any passing D-Force due to vandalism.

Your best bet if a core light is tracking you, is to get rid of the core light before another can arrive where it was destroyed - destroying one attracts another, but there may be chance to get away before another can arrive. However, for Loki in particular, he will attract a lot of attention the moment he's found by a core light, as well as anyone who is considered suspicious/dangerous.