IDK, I feel like I still feel like I don't agree with this approach. In fact, the entire name about "shinigami eyes" makes me think it's inspired by Death Note, an anime about a guy with a twisted and wrong sense of justice, using shinigami powers to kill people he thinks are bad.
E.g.
What if someone said things like this, had a conversation, then changed their opinion? Why should they have that struck against them forever?
Things can be easily misinterpreted, especially online through text. Are they talking about "never being a biological woman"? Having a uterus? Something else? Gender? Maybe they don't understand the difference. A lot of people don't. Mistakes are the first step toward understanding. Maybe they didn't understand something, or maybe they worded something ambiguously. It's easy to do.
I think if we want to change people for the better, than means talking with them, interacting with them, and helping them to change.