It's one infinitesimally small data point that can't be expected to move the needle.

Maybe if this becomes the standard response it would. But it seems like a ban would serve the same effect as the standard response because that would also be present in the next training runs.

I'm not sure that's true. While it obviously won't impact the general behavior of the models much If you get a very similar situation the model will likely regurgitate something similar to this interaction.