@GlomOfNit in my school, the papers will be divided out to those of us who mark. Between us, we cover all 4 papers, which helps. Of the three of us, two are away until the start of term - I'll be looking at my papers as and when they come in, and reporting to the HOD whether I think a review is likely to get anywhere.
My colleagues will have a look when term starts - and the three of us usually chat about some of them.
In other places it might be the class teacher or HOD who looks. Someone does need to though, because a lot goes in for review which is a complete waste of money - often because someone assumed that a question which was given zero hadn't been marked, when it actually hadn't been attempted.
I'm broadly happy to do it, as are my colleagues, but I'd prefer to be asked nicely and "let off" other start of term tasks. If they want me to review scripts, I'm simply not available to count exercise books or fiddle about with displays. (Insert range of pointless tasks here)
It's not really "a quick scan" - I'm looking at the mark, the answer, the annotation, and the mark scheme. And doing that for every question is much more time consuming than marking dozens of the same question one after the others.