It would be slower I think. Players would delay moves like e4,d4,c4 until more pieces were developed and the king had gotten out of the way.
Other than that, I think it would be the same. It would still be worthwhile to control the center, and it would still be worthwhile to get the king out of the center.
I think it would be shorter and way more aggressive or maybe white would have a clear advantage.. who knows how it'd be at GM level