Tournament is basically the game's any%.
Since you were even considering it to begin with by completely misreading what I
stated.
Tekken 3's branchless for this exact reason to keep itself separated from the only other branch "Tekken Force" (besides playaround).
It's annoying enough that we're reinventing the wheel every 5 seconds with branches that shouldn't exist, especially for fighting games that don't need it.
Tekken 3 also comes in line with Tekken and Tekken 2 since neither of those feature a secondary mode unlike Tekken 3's Tekken Force.
Mortal Kombat, Street Fighter and Guilty Gear for the quick examples besides Tekken where we don't have branches on the any% version of the game.
This doesn't need a discussion about it.
Use common sense and leave it branchless for it and only branch those that have the specific mode covered that isn't default/main game.
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Edit: Because you used Golden Axe as a defense let's go with that quickly.
Golden Axe has 2 modes. An Arcade mode and a Duel mode.
Ok, ready to see how you're meant to branch it?
Arcade: Branchless
Duel: Branch
Not to mind you we also have 4 Golden Axe TASes that are branchless.