[@Raineh Daze]
(moving on from talking about subjective brokenness)

He is Edmond Dantes, as the grail summons the servant in its prime of life. (In this case the count), The main reason for his refusal of being Edmond Dantes and the fact that even though he has memories of the ending to dantes story, is that oblivion correction forces him to remember all the pain and suffering he had inflicted upon him, leading him to perpetually be stuck in his revenge state of mind, That is afterall a caveat of the avenger class in that they cannot forget, That and well his mistress isn't alive to prevent his murderous compulsion 

Source 1: His True Name is indeed Edmond Dantes, but he perceives himself as a different person from the "Edmond Dantes" who was a seaman from Marseille. The reason being that "Edmond Dantes" abandoned his evil nature at the end of the gruesome revenge tragedy in Paris... but I, who manifested as a Servant, continue to be the "image of a nemesis". In that case, I am not Edmond - or so he says <- This is eternally due to the nature of his class container.
Source 2: My beloved mistress (Haydee) is nowhere in this world, so this body shall remain a demon of vengeance for all eternity--

Source 3: Memory Correction is a Class Skill of the Avenger class. People are creatures that forget many things, but an Avenger never forgets. The critical effect of Avengers who attack from beyond one's memory is strengthened.

Dantes has been shown in the EoR trailer for Shinjuku to use his NP as a means of movement without appearing to even break a sweat doing so however it does seem he is not even close to using his top speed (since even if we factor in servant speeds, the speed dante is moving is nto even close to the speed of light aka his top speed with the NP), other then this, it hasn't actually been shown if Dantes can use his NP as a means of travelling, as his NP generally shows him using it to launch a multi directional attack, which is so fast it is akin to a time stop.

However the way it functions appears that the NP is flexible in its speed and therefore its duration, Obviously Dantes going all out could simultaneously only defeat 100 people maximum with 1 NP activation however, that only appears if he is going all out speed of light. Not really factoring in the fact it appears he can use the NP in a diluted fashion for bursts of speed.

[hider=Epic of Remnant trailer]
[youtube]https://www.youtube.com/watch?v=qW4fgg-jOAM[/youtube]

Notice in the first three seconds that Dantes is moving at a speed that is re-actionable , meaning that he isn't using his full output. So hes either conserving mana or holding back. but this does show the np can be used in a diluted state.
[/hider]