Exactly. Game of the generation best/most fun game of the generation.
Just like game of the year = best/most fun game of the year.
For me, it's not enough that a 'game of the generation' is best/fun, there's another factor I look at: impact. In that arena, CoD 4 is without equal in the 7th gen.
Have I said that? Do you miss all the GOTY awards?
GotG and GotY are two different things. Also, see my reply to Ka-pi96.