AIs don't judge, don't remember and don't hold anything against me, so I'd rather have an AI screening my stuff than a human - especially my superiors.
And yes, I trust an AI I run myself. I know they don't phone home (because they literally can't) and don't remember anything unless I go through the effort to connect something like a Chroma or Weaviate vector database, which I then also host and manage myself. The beauty of open source. I would certainly never accept using GPT-4 or Bard or some other 3rd party cloud solution for something this sensitive.