Ok, I am here with the promised diagram of arguments regarding the Barbed Broadsword. I encourage @Eljay and @Mesonak to go over it.
NOTE: I use my language very carefuly in this post to properly convey my thoughts, so please read carefully yourself.
When it comes to the question of wether the prime Tuyet had Barbed Broadsword (BB for short) there are only two options, here represented in the following statements:
A: Prime Tuyet did wield the Barbed Broadsword.
B: Prime Tuyet did not wield the Barbed Broadsword.
These two statements are in direct negation and thus a true dichotomy.
The following diagram of scales depicts arguments for both statements.
A: includes numerous arguments comming from at least three independent lines of evidence converging in support of the statement.
These are color-coded yellow - default story rule line; green - contest requirement precedent and object usage line; red - Greg statements and language line
B: No evidence in support of statement B has been provided up to this point despite multiple claims of its existence. All that has been provided are statements of lack of evidence or a non-conviction by some of the discrete arguments supporting statement A.
The numbered arguments are explained in text form below the diagram:
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As an empirical rule permeating the G1 canon – in general, all of the alternate universe (AU) characters have the same equipment (this includes toa tools and masks) as their prime reality counterparts by default, unless there is a very specific reason or circumstance stated for them not to (such as the Melding AU).
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Explicit confirmations of the identical weapons include but are not limited to: DM Kualus, DM, Bomonga, DM Kopaka, DM Onua, DM Shadowed One, DM Roodaka, Kingdom Takanuva, Kingdom Axonn. Notice most of these come from the same universe as DM Tuyet‘s BB.
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This default rule is also logical, since the AU‘s diverge from the prime reality when a different decision is made. This means that the DM Tuyet and prime Tuyet are identical and the timeline only diverges at Nidhiki‘s decision in the Many Deaths of Toa Tuyet.
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Aside from BB, other toa tools were enforced in the contest and canonized based on their sole appearance in an AU, such as the very recent Seismic Spear and Sub-zero Spear which only appeared in Dark Mirror (same as BB).
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Tools never explicitly used by their prime or AU wielders (and therefore with less usage than BB) were already mandated in the contest such as the Artakha‘s hammer. This hammer is never even mentioned or hinted at in any story material, and the only reason we know of its existence is due to fan demand in Greg quotes. Also this hammer is not a signature weapon in the first place, just a repurposed crafting tool.
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Prime Tuyet performes a „slashing attack“ in the Reign of Shadows, implying the usage of a sword-like weapon. Based on the assumed reader‘s knowledge of the combatant‘s weaponry, this would have to be BB.
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Greg has stated several times he was going to reveal Tuyet‘s toa tool in the upcoming story serials including during DM. Greg then delivered on his promises describing „her Barbed Broadsword“ with proper name and capitalization specific to signature weapons.
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Both its actual appearance in DM and its originally intended appearance in Into the Darkness was meant to convince the witnesses to believe they are seeing the actual Tuyet.
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After its reveal, Greg answered numerous questions about BB including both its detailed appearance and functionality, asked in a way where it was clear the question referenced Tuyet‘s Barbed Broadsword. Greg answered all of them without ever correcting anyone even though he is known to often correct fan assumptions, especially those assuming certain rules apply where they shouldn‘t.
Conclusion: There is an overwhelming amount of evidence supporting the view that prime Tuyet did wield the Barbed Broadsword as her toa tool. This evidence also does not come from a single source or a line of thought, but instead there are multiple lines of evidence converging on the same answer.
While some counter-arguments have been raised toward select isolated arguments, these are either a severe strech or can be disputed further, and even if their targets were to be ultimately discredited, there are multitudes of other arguments lying in wait unaffected.
Meanwhile, zero evidence has been provided to the only alternative option - prime Tuyet does not wield Barbed Broadsword as her toa tool.
Therefore, the evidence is sufficient beyond any reasonable doubt that the prime Tuyet did in fact wield Barbed Broadsword as her toa tool and was Greg’s intention all along. For this reason, Barbed Broadsword should be mandated in the Tuyet canon contest, as a bare minimum, at least in the art portion, so that the final canonized product is equiped with it.
No comprimises are necessary nor justified. To suggest that the two options mentioned are somehow even or on an equal footing, and thus in need of a compromise, would be an intellectualy dishonest position to take, in the light of the current evidence.
Mandating the BB is the only logical and sound option.
And of course, if anyone actually has some evidence supporting claim B, they are more than welcome to come forth and present it.