Cyclocross Frames and Disc Brake Compatibility?
There are two (ignoring flat mount for the moment...) main standards in use for disk brake mounting systems, IS 51mm and 74mm Post Mount (Disk Brake Mounting Standards - Bikeman). Both of the linked frames appear to be using 74mm Post Mount on both the frame and fork since the brake mounting lugs are parallel with the plane of the wheel. TRP Spyre calipers default to post mount, so your calipers would bolt up fine on those mounts (on either frame) barring any manufacturing defects.

The main disadvantage of having a brake mount on the seat stay (outside the rear triangle) is that the caliper will interfere with standard racks, necessitating the purchase of disk brake compatible racks that are usually slightly more expensive. Moving the mounts to the chainstay (bringing the caliper inside the rear triangle) makes the frame compatible with a wider variety of racks if that is something you're interested in.