Manamune Ezreal?

Before you comment about how manamune is a bad item on Ezreal, please hear me out.

Ezreal is an AD caster. He is extremely reliant on his abilities, but his auto attacks are also an integral part of his damage. I believe using the following build makes Ezreal strongest (generally) throughout all stages of the game: , , , , , , , OR

This build is obviously not set in stone (especially towards the end), but there are a few reasons why I think this build is superior to the standard "Tri-Force" Ezreal:

1. Buying an early tear solves mana issues throughout the game. This allows Ezreal to stay in lane/not in base for longer while still allowing him to deal optimal damage.
2. Getting an early Sheen helps his early game damage output, so buying the early tear doesn't affect his early/mid game power too much.
3. Finishing the manamune ONLY after you have tear fully stacked gives you extremely gold efficient stats, and the toggle active on Muramana greatly increases Ezreal's poke from his Q and auto attack DPS.
4. The most likely alternative to getting Muramana in your build is IE, which is not very cost effective on Ezreal. While his auto attacks have the chance to crit, he builds no crit chance other than Tri-Force, so it does not maximize the potential from IE's passive. Also, Ezreal's Q cannot crit, but it does apply the extra damage from Muramana.

*Note: At full build, Ezreal will gain about 75 AD from Muramana.

So I've been wondering what makes the traditional "Tri-Force" Ezreal better than manamune Ezreal, but I haven't seen a well-reasoned argument about why Tri-Force is better. If you have any knowledge about Ezreal's build, please leave a comment. Thanks for reading!