The 'pirate' trope as applied to most edged weapons is of course typically apocryphal. Pirates were notoriously poor record keepers, and there were no 'regulation' weapons (just 'guidelines'
Naturally we need to also specify 'which' pirates we are considering for association with a certain weapon, or indeed 'form' of weapon. If they were 'Caribbean' region, it is most unlikely that these Asian weapons would be found, unless an anomaly brought in by someone as a souvenir or trophy from those Asian areas.
The woodcut illustrations well known in popular culture from the well known pirate tales are of course, not particularly likely to be accurate.
I am still fond of the popular pirate tales, but also of learning more on just how much is fact and how much is fiction.
The thing is, while we find that much of this lore is well embellished and not necessarily accurate, yet often we find fascinating elements which are sometimes even more exciting that the original story.
I agree, we should strive for references which support the use of a certain weapon or form in a 'pirate' context, while of course allowing ourselves the joy of thinking,
"maybe, just maybe, it might have been' .
In our speaking openly on the weapon, that is the manner we should view it, until hopefully one day, some obscure evidence is revealed that can empirically prove its provenance or use as surmised.
I have been fortunate to have had numbers of weapons for decades which I stubbornly held onto, in which that very thing occurred.