Ya, I might have to tip off the players that haven a high profile and easily identafiable group is not good for the shadows.
Actually, "distinctive style" is one of the negative qualities I consider of mixed benefit.
It's bad when you want anonymity - avoiding blame, retribution, or detection. It's bad when someone decides they need to send payback as, well, "There was a cocoon-rigged Revolution in the area" (or caught on camera inside the building, or...)
Its first benefit is the third bad: YOUR work is known. If you run some glitches, it gets known even better than the successful missions.
A second benefit is that it can be used as a distraction.
The negatives tend to outweigh the positives, but as with a handful of other options it does have some potential positives.