I am aware of the lists and guidelines, I've been linking and quoting them to you. :)

It's their report on the standards that highlights that they don't think there's a clear distinction between "emoji" and "character", and that it's mostly a matter of user expectation.
Hence some pictograph characters having a default "text" presentation, and some having a default "emoji" presentation. They also clarify that some things with a default "emoji" presentation aren't in the set of characters people would associate with emoji and shouldn't be counted if you're trying.

I understand what you're saying, which is that the selection criteria is different for a "language symbol" as opposed to a "pictographic symbol", so they're different things.
I disagree and think that "default presentation" might be a better metric, but that ultimately it's about user and platform expectations. The same character can be presented "emoji" style or "text" style depending on context.

In any case, I'd also agree that there's no viability to the notion that people use the Bitcoin symbol in a way that's independent of the one meaning that it has, so a colorful cartoony rendition becoming an option doesn't really fit. "His Christmas gift was $$$" is a sentiment people might express. "The hotel is ₿₿₿" just ... Isn't.