The Quaade Gambit is much wilder than it seems. 4.Nc3 looks humble enough but it is a useful developing move. It also gives Black the chance to play the tempting 4...g4.
If you get this move do not give the position the Muzio treatment. It's best for the Knight to preserve himself via an excursion to e5. Yes it allows 5...Qh4+ with a pawn on f4, usually big trouble for White.
The Quaade Gambit with it's Knight on e5 contains some powerful resources for White and 6.g3, normally suicide in these situations, is actually on here. Indeed it is the way to play.
6...fxg3 is answered by 7.Qg4. The e5-Knight has made this possible. 7...g2+ 8.Qxh4 gxh1Q is too inviting to turn down. Even though you're a Rook down you now have a huge lead in development and a strong attack. Black's only piece in play, the newly minted h1-Queen is his only piece in play. 9.Qh5 threatens mate in two and the Black Queen is too poorly placed to defend.