I complained about this to my friend who was working towards becoming a firefighter.
He replied that there are two things I should consider. All people are assholes and abuse their position so i shouldn't be surprised that some cop feels "the public owes him" etc or that he should be allowed to even though he's not. The other thing is that there are three levels of response.
The first is just get there, it doesn't matter that you get there quick, time isn't a pressing issue.
The second is get there quickly - Don't go full out lights blaring, but if you have to run a red using your lights, etc - do it.
The third is a true emergency. Life is at risk and emergency vehicle needs to respond as fast as possible. The lights and siren are on.
They use the second one so that way they don't have to either get stuck in traffic patterns etc or have to completely disrupt traffic flow by going lights on all the time.
Since it's not possible for me to know if the guys a dick or responding to something where he can't use his lights but needs to get there quickly I should relax and give the benefit of the doubt. Seems reasonable enough to me.