Do not go to your unit manager with this shit. Take report, give care, give report, leave. Otherwise acknowledge and move on. Every nurse thinks they’re the best nurse. It’s just how it is.
If you don’t want to talk to someone, just tell them you forgot to chart something and then ignore them. They’ll get the hint.
This is a profession that, for better or worse, attracts type A personalities.
Edit: and most charge nurses would not intervene in this either.
With neither of them publishing it? It sounds like someone was just playing around with the tech. This isn’t really “exclusive” worthy, since nobody did anything.