Removing spammers fast is all about team work!
Yes and no. No, because in my personal experience it is more about removing them quick, and all you need for that is just one moderator or administrator.
But yes, because I once was doubting if someone was posting spam or not so I have to report him just in case. Later on I find out is was not spam so I have reported that also so nothing would happen to that guy, but it was just a boy being pretty young in combination of me reading his post wrong. Therefore I personally like to know in what age catagory people belong, so I try to remember that to adjust my reaction to their posts, if you know what I mean.