You don't think the fact that your entire argument by this point relies on what Eden doesn't say to the player (again remembering that we know Eden is more than capable of deceit and is desperately trying to convince you to work for him) puts your theory on rather shaky ground? It's pretty clear what the ending slide is describing and it seems quite familiar to what the plan was in Fallout 2.
Which is nice. But I think it'd also be nice if the Brotherhood of Steel didn't appear in Fallout 3. Yet this doesn't change the fact that they do appear in Fallout 3.
And again Bethesda did originally plan for Eden to just be a copy of Richardson's consciousness so yeah I think it's pretty clear what his plan was supposed to represent.