| Moine |
A use of a skill is either trained or untrained. Regardless of whether Battle Medicine is its own unique action or is a derivative of Treat wounds is kind of irrelevant. It is a use of the medicine skill. Battle Medicine is only available to users trained in Medicine, so you can infer this is a trained use, but it really shouldn't matter. Battle Medicine's unique use (whether you see it as a part of Treat Actions or not) simply isn't on the general list of medicine skills because it's gated behind a skill feat.
The Streetwise feat likewise makes Gather Information, usually a use of the Diplomacy skill, a use of Society skill.
I hadn't thought of that. I guess that makes a lot of sense, especially when you read the Skill Trait for Feats.
"A general feat with the skill trait improves your skills and their actions or gives you new actions for a skill."
that could very easily be read as adding the Feat Skill to the list of Trained and Untrained uses.
I just wish that there was some positive clarifications that would eradicate the Table Variance for this.