I remember when someone ratted me out to an ex-boss whom I had complained (unofficially) about. She asked me directly if I had a problem with her, and the best I could offer was, 'If I was reassigned I'd prefer someone else as my supervisor'. I would have much rather said. 'You suck'. (She did, believe me).
No, Wally isn't a weapon to be used that way. He's useless, but not actually harmful. If you want toxic, send in the PHB and CEO. Any productive activity would stop, and the entity would quickly melt down into tail-chasing bureaucracy and sycophancy.