EXACTLY. You buy the Tektro 800a JUST for the long bolts and regular nuts. Then you disassemble the R556's and remove the short bolts/recessed nuts. You REPLACE them with the bolts from the Tektro 800a's. This leaves you with a really nice set of brakes (R556) with bolts long enough to reach through older frames and use regular nuts.

Essentially, you're paying $18 for longer bolts, but that was fine by me. (Of course, you can also swap the recessed nuts/short bolts onto the 800a set and end up with a recessed set of 800a's, which is what I did... although I don't have a use for them (yet)).

Originally, I didn't understand why I just couldn't use *any* bolt as a replacement. I didn't realize until I took apart the caliper that it has step threading - one set of threads holds the first-pivot caliper to the mount (secured by a recessed allen screw) and the second set of threads allows the nut to thread on.