I don't get the argument about dead spots. If the bike is "carrying you through," then you're using momentum to move your legs that could be used to move your bike. That may make riding feel easier, but I don't see how it can make you faster.
I enjoy riding fixed, but I don't find it any faster. Maybe it compels some people to ride faster. But honestly, this question kinda confuses me every time it comes up. If it's about speed, use gears. If not, use what you like.
P.S. "Feeling" faster and being faster aren't the same thing. Do folks who find fixed offers a speed advantage ride with a computer?