The backstory of the projector Da Vici came up with through study of Double class is a canon thing (not Da Vinci studying it but Double Class)
What is Double class? Double class is a unique mutation skill made or from an outside source (such as messing with a Saints Graph or vessel of a servant and using spiritual healing etc to help keep them alive and complete it) only usable on a Caster that fuses with their Lancer variation or Lancer fuses with their Caster variation.
Example: if you were to use Double class on Caster Cu, he would lose his cloak, get a small boost in parameters (nothing major but it's still a boost), his magic staff is replaced by Gae Bolg allowing him the use of all his caster class skills such as Runes and his NP Wickerman all the while he can use Gae Bolg like a lancer (aka close quarter fighting while using his spear to create Runes) and has access to the NP of Gae Bolg.
The Inspiration of the Idea originally began with me finding a Tiktoc about Elding Ring's Maliketh saying his quote for the second phase while Rammsteins Sonne was playing (Made by the_oni_himbo) which made me think of King Hassan which led to me thinking of EMIYA and possible Phantasms.
The Alternate Phantasm
The Dream of Knight, Revelation of the Twisted Sword
Chant: "O, Death become my blade once more"
description and explanation (requires a little imagination)
EMIYA during his youth has always dreamed of being a hero of justice and helping all he can, during the 5th holy grail war he fell in love with Saber but couldn't save her heart and left to pursue his dream as she left to pursue another grail war but during a singularity (FGO fuyuki) even corrupted he still served Artoria (Altered) like a loyal knight giving form to his dream of helping and acting similar to a knight allowing access to this Noble Phantasm in the future.
Upon using the Chant, Emiya unleashes his desire to be a hero, a Knight, causing the creation of a suit of armor to be formed on him but due to his acknowledgement of his twisted nature as a sword and counter guardian and his knowledge that he couldn't be a virtuous knight caused the armor to become twisted and dark (Suit of armor at the top in the picture)
Upon dawning the armor, his stats gain a major boost and an increase in combative skills (increased skill using blades, reduced cost on sword based high ranking NP) with an even further increase if he "serves" (acting in the aid or orders of Artoria with Salter producing the maximum benefit) any Artoria. The downside of dawning this armor is that he fully unleashes his mentality of a counter guardian and gains a form of skill similar to madness enhancement except he completely follows the orders of Artoria (Salter has the highest command when Emiya wears the armor meaning he takes her orders over any other Artoria if multiple Artoria variants are present) and sometimes Gudako, and due to this mentality and skill, he wouldn't hesitate to cut down any in his way even if they are his allies or innocent civilians that just got in the way of his attack towards the enemy. (An example would be if "X" bad guy uses a singularity version of Rin as a human shield/hostage, but Artoria gave the previous command to defeat the enemy before she knew of the hostage, Emiya wouldn't hesitate to cut down both Rin and "X" thus completing his previous order.)
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EMIYA's Alternate Phantasm (No story just an Idea)
ActionOne day in Chaldea Da Vinci got bored while looking into Double classes and suddenly had an idea, what if she made a projector able to play a form of film that broadcasts a servant's Alternate Noble Phantasm and the current subject of interest just...