Yes, this is a 'cross frame although it looks like a mtn. bike frame. The person riding it is only 5'3" so it has to look like this. One good thing, it doesn't weigh anything.
There's a few NOS US made tubes in this frame that I save for bikes like this. I don't have much of these tubes left and it will be a sad day when they are gone for good.
My guess is that some sort of newer 'V' type rear brake will be used as the cable room behind the seat tube is minimal.