I've heard to the contrary.
Initially when Schneider grabbed the starting role from him, there was talk that Luongo wanted out. Once Schneider was traded, Luongo reassumed the mantle of starter and played well.
The year that Torts was coach, word on the street was that Luongo had finally convinced his wife to move from Florida to BC, and his kids had been enrolled in local schools.
Once Tortorella decided to, in a moment of monumental stupidity, give Lack the net at the Heritage Classic, Luongo was insulted and asked to be traded, and the trade happened the following day.