This is interesting but I think maybe you have the wrong take away. Perhaps the real answer is that Jag Staff is the PERFECT turn 4 card (with a bag) leading into a turn 5 Falling Star. Then you have a guaranteed 4/3+2/2+2/2+2/2 board AND potentially even another 4/3 if they didn't kill off the one from the turn before. Additionally this is 4 dmg that can be used to clear out something you don't want to give Burn +6 to and allow you to get Burn on the right target.

Ironically I don't like nature now, nor do I even run either of those cards in my own decks, so I'm certainly no expert! But...I did run Swallie's Control Nature deck last night which runs both and I can say it worked out really well! Maybe this works better for control Nature but I don't see why it wouldn't work for Aggro or Midrange as well!

Perhaps it is more of a preference: would you rather be wide or tall? If you're playing Falling Star, probably would rather be wide. In that case, maybe you choose to set the moose loose, give it the noose, call for a truce and juice your goose with jag staff boost?