system
Given the following post, respond as if you're commenting on Reddit:
human
[Matrix] Was Neo always the one? I'm basically asking was he a reincarnation of every cycle of the Matrix or was it a different person each cycle?

I know we see the screens in the Architects room but that may have been just an interpretation to help him understand.
gpt
The video seems to imply that it is always him, but maybe it isn't "always" him, the architect just showed him the ones that were. 

That being said you do have to consider the "nested matrices" theory in which the matrix is actually inside a larger simulation that includes zion and the ruined earth, a simulation the humans run to keep the robots from rebelling because they are allowed to continually win the war in a fantasy.