difference is really only in execution. I dont like the idea of tethering wires directly to the dac. there is no need to desolder the caps though, but I would not do the second method the way you describe. just solder to the south side of the cap near the dac (i'm assuming 5.5G) and then solder to the south side of L2 and L3 (which are down near the dock and correspond to pins 3,4 in the LOD. the signal will take the most efficient path, and providing you have made a good connection your wires will be that path. you can remove the stuff if you like, but its easier for a noob to get a good solid joint with more to purchase on. hell I dont remove them most of the time. I only do that if i'm feeling in a perfectionist mood. there will be no difference in the audio signal you get either way, but sometimes I do it just because I feel like it. bonus of doing it without removing them is you can get a more solid connection and dont really need to add strain relief. make sure you secure the wires after each joint though, although not as important as when desoldering the caps. good luck!!
as for the corda, i'm not in a position to really say as I only heard it really briefly when a customer came over with one. would be better than a CMOY though. for a reasonably priced amp I would recommend you get a mini^3 built by mister X.