[quote=@Lonewolf685]
I'm typing up my post now when I was struck by something. 
Does Tamamo remember past wars here? It was shown she does during Extra (The awkward moment you meet Pieceman and find out he's Tama's Ex) but the moon cell Grail War was fundamentally different than the Heaven's Feel ritual. I was thinking more along the lines of using it for flavoring and humor than lording her experience against Vlad as a tactical advantage.
[/quote]

[quote=CM3]Heroic Spirits are beings cut off from the time axis and can be summoned in any era, regardless of past and future. However, the only one that can summon the main body of the Heroic Spirits is the "world", and alas, humans can't summon the main body and can only summon their emanations, the Servants. Speaking of which, the information (souls) making up the Servants return to the main body at the same time as the death of the Servant, and the main body can know, as records, about the actions of the Servants as if reading a book.[/quote]

That said, she shouldn't really know-know the details because she has an infinite amount of books in a place where past/present/future are meaningless, so it all blends together after a while. Case in point being that EMIYA forgot his best friend's name because the Throne is hell.