It doesn't matter. The purpose of algebraic notation is to produce an unambiguous record of the game, not a canonical representation that you could compare character by character.
This is not spelled out on the official rules, but I believe it is the inescapable conclusion considering that some parts of the notation are explicitly optional (here I'm talking about the FIDE Laws of Chess); for example:
[...] each player is free to use the name which is commonly used in his country [...]
A longer form containing the square of departure is acceptable.
[...] an x may be inserted [...]
[...] ‘e.p.’ may be appended.
[...] The last four [capture, check, checkmate, and en passant] are optional.
That said, the rules are clear that disambiguation is only needed when two identical pieces can move to the same square, so the "correct" notation would be Ne2.