Seamaster Regatta Chronograph 21230445001002 - what box should it come with?

I've been planning and drooling and dreaming and might be on the cusp of picking up a pre-owned Seamaster Chronograph Regatta, you know, the yellow accent jobbie.

I've seen them with both the lovely wood box and the red leatherette item: is there any way that Omega might have offered them with two box options or does a red box imply not original? Importantly, does red box imply "not quite as it should be"?

Also, its listed as a chronograph and not a chronometer which tells me that it isn't a COSC rated watch: is it the movement? Why so please?

Thanks in advance guys

Thank you sir.