How would this be better than an infinite resolution analog one?

Playing in the car/train/bus/plane, never losing pieces, computer/remote opponents, huge database of historic games, ...

Or an 8x8 pixel one?

An 8x8 pixel chessboard would require players to memorize which color corresponds to which piece type (for both sides).

You could also have certain flickering colors represent certain pieces, but overall it would require good color vision from all players.

Alternatively, you could have an 8x8 character grid; monochrome if you represent things like:

    rnbqkbnr
    pppppppp
    . . . . 
     . . . .
    . . . . 
     . . . .
    PPPPPPPP
    RNBQKBNR

or

    ♜♞♝♛♚♝♞♜
    ♟♟♟♟♟♟♟♟
    ＿█＿█＿█＿█
    █＿█＿█＿█＿
    ＿█＿█＿█＿█
    █＿█＿█＿█＿
    ♙♙♙♙♙♙♙♙
    ♖♘♗♕♔♗♘♖

(The second board may not be properly fixed-width in your local "fixed-width" font, but you get the picture).

Check out http://gametableapp.com

It does not have logic to verify moves (which is pretty clever) so it is just a beautiful gameboard.

Oh, I don't know, I was riveted by the video of the two guys playing scrabble...