5e Monks Should Have Martial Weapons

This post is about the game Dungeons and Dragons, and is not meant in any way to be making any point about real-life martial arts. This post is related to the 5th Edition (5e) Monk class being under powered, but it is more specifically about my problem with this class's choice of weapons. On the 5th Edition weapon's list we see that the only difference between a short sword and a scimitar is that a short sword is primarily a piercing weapon and the scimitar is primarily a slashing weapon. The 5e Monk class allows the Monks to use Short Swords but not Scimitars. This is shockingly out of place with every Monk cinematic or literary archetype I am aware of, as monks are universally more likely to use slashing swords than piercing swords as is the case in the following Shoulin monk sword demonstration:

And the straight swords used by Wudang monks are long bladed, highly agile swashbuckling weapons more like rapiers than short swords:

Shoulin and Wudang martial arts also have all of the rest of the martial weapons on the Martial Weapons list, including numerous flails:

Asian martial arts monks have battle axes:

And great axes:

Great Swords and Glaives:

And halberds:

And pikes/lances:

And long swords:

And morning stars:

And tridents:

And war picks:

Maces and War Hammers:

And whips:

It is also a shame to forget the longbow archery of Zen monks:

And advanced crossbows in their culture wouldn't have even been considered martial weapons anyways:

I will stop short of an argument for their use of shields (which I could easily make) because I think the over all lack of armor is justifiable for monks. But it's clear to me that 5e needs to allow Monks to use martial weapons.