Gossips are in a weird place where their powers are interesting, but not dangerous. As long as a scum player can remember what they said in the scum chat, there's no reason to kill a gossip. If I were scum, the only time I'd kill a gossip for being a gossip would be when chat is starting to gravitate towards a scum player and I need a distraction. "ZOMG I wonder who they spoke to" and so forth. In the end, it's irrelevant, but it's a good way to get town chasing their tail. Sort of the reason I think they haven't bothered to kill Vere. As long as Vere is alive they can keep honking that "ZOMG SWITCHER, CAN'T TRUST!" horn.
So short answer, no, I would not. Given I now know your power, and have nothing to really fear from it, I would rather hunt the assumed cop and try to kill them before they can red/green enough people to win.