Oh man, I looked at the computer analysis and they are some crazy crazy lines there!
I probably wouldn't have castled long because of the skewer and because I'm human, but seeing position and knowing it's the best move, it make some sense to me, thoses things happens when you have such a huge development advantage over your opponent. After castling and loosing the exchange because of the skewer, you have all your pieces developped, while your opponent stil has the entire queenside still undevelopped. The computer want to explode the center quickly to capitalize on the development advantage and is willing to sacrifice the exchange to do it as quickly as possible, not letting the opponent time to castle or develop. That's the power of quick development. Well played!

Being completely winning despite giving up a full piece with check is insane. And the computer says no mistakes. You should definitely submit this in the game of the month form. Very well played!