The subset of #1 that, for symbolic reasons, are styled as “Treaties”
“Vibes” govern whether or not something is in Category #2, and there are a lot of things in Category #1 but not Category #2. But, Category #1 is not a vibes thing. See the Circular 175 procedure and associated law and regulations. There are various pedantic ways of referring to Category #1 if you want more precise vocabulary (e.g., “treaties and other [binding] international agreements”).
I think the confusion here is purely semantic rather than substantive. “Treaty” can mean one of two things:
A written, binding agreement between states under international law regardless of what it’s called (see the Vienna Convention on the Law of Treaties)
The subset of #1 that, for symbolic reasons, are styled as “Treaties”
“Vibes” govern whether or not something is in Category #2, and there are a lot of things in Category #1 but not Category #2. But, Category #1 is not a vibes thing. See the Circular 175 procedure and associated law and regulations. There are various pedantic ways of referring to Category #1 if you want more precise vocabulary (e.g., “treaties and other [binding] international agreements”).