Is 1.Nc3 a good idea to play for a win?

I discounted 1.Nc3 because 1...Bh6 puts White on the defensive, say, with 2.Nd2. But I forgot to check the most forcing moves...
Thought process:
Checks - Mate Threats - Captures - Threats
Checks: Re1+, Qe3+, Qe4+, Qe2+, Bf7+, Qh5+
2.Re1+! Kf8 3.Bxh6+ Nxh6+ 4.Qxf6+ Nf7 5.Qxf7#
(2...Kd8 3.Rxh6+ Nxh6 4.Bc7+ Kxc7 5.Qxf6 +-)
(2...Kd7 3.Qd3+ Kc8 4.Re8+ Qd8 5.Qxd8#)
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