Cliff Bleszinski said in his Reddit AMA that one of the main reasons he isn't going to make a new Jazz game is becaues he doesn't have the time.
Spamming him on Twitter won't change that.
And, as Violet said, a new Jazz game probably wouldn't sell too much.
And the final arrow to the knee is that Cliff Bleszinski does indeed want to make a new Jazz game, so something like this would make no difference at all. Sorry if this has crushed a dream or something, but it's the truth.