Ovinomancer
No flips for you!
I really am not sure why you keep insisting that oranges matter. You aren't engaging with the definition as given, you're insisting that it must engage with your other preconceptions. Like this whole boardgame thing, which no one advocating for skilled play is supporting yet you're insisting is a must.It sounds like you might be rejecting the possibility of a singular definition, only multiple definitions. Is it down to each group?
Might it be right to say something like -
1. SP is SP-mode + SP-boardgame + SP-language
2. In SP-mode, SP-boardgame-moves are resolved mechanically - by the rules - to solve SP-boardgame-problems
3. In SP-mode, SP-language-moves are resolved by the DM to solve SP-language-problems
4. Players shouldn't use SP-boardgame-moves to solve SP-language-problems: that is not playing in SP-mode
5. SP is not all or nothing, a group might be doing somewhat-SP, and can play in SP-mode + other modes, such as SI-mode
Or something else? I think 4. is particularly important. Several times now it has been explained that just rolling dice to achieve something isn't enough. But rolling dice to achieve something is okay given the right preconditions or context. So what are those preconditions? I assume we don't count the player sitting, looking puzzled for a moment, frowning, face lights-up with inspiration - "I'll make a Persuasion check!" - right? We want them to have paid attention and done some kind of work. But what is that kind of work!?
Generally, when asking after others thoughts, you should first try to assume that they are honest and try to figure out how that can possibly work that way. What you shouldn't do is keep your preconceptions and demand that the other person accept those in their thinking. For instance, I have no idea what entails SP mode, SP boardgame, or SP language. These are not components of my thinking. You're not only insisting that they are and insisting that I choose between them, but you haven't even explained these concepts.