I tried a variety of exploits for my v5 PS2 and in the end cogswap is the only one I've managed to get working well enough to actually play backups. I've burned backup DVDs of over thirty games now, all of which work with cogswap, with the exception of Atelier Iris. It's a shame because it seems like such an entertaining game...
I've burned AI at varying speeds (usually 8x, since the discs are 16x, but I've tried 4x as well) and used two different copies of the game to try and get it working, but nothing has worked so far. This is the NTSC version and I'm using Sony DVD+Rs set to DVD-ROMbooktype through Nero Burning Rom (I've burned 4 copies of it now). Every time the screen goes black from Cogswap as it tries to load it and just stays there. I'm posting the file list on the disc below, hopefully there's just something I'm overlooking and I'll have it playing soon *crosses fingers*.
I'm using Xenosaga II disc 2 for loading the ToC into Cogswap, if that's what you meant. It's 4.37 GB (as big as you can get) and the Atalier Iris 1 game only burns about half the disc worth of space so I really doubt it's a ToC issue. As I said I've burned probably 40 backups now and all of them work with the exception of this one... I've heard from other posts I've seen around the net that cogswap is compatible with this game (it's just an RPG, I don't see why it wouldn't be anyways), and yet every time I try it fails.
The page you linked me to is just instructions for getting cogswap working, which it already is; the method I'm using is that my fat v5 PS2 loads MC Boot on start, I load cogswap from a preset I made on the main list (MC Boot loads it from a thumbdrive I have in the PS2) and then I load the ToC from Xenosaga II Disc 2 and switch it with my backups by taking the top off of the disc tray (I don't use a fliptop OR a slidecard, I just took the PS2 apart). Everything works except Atelier Iris- and the 'working' list includes Valkyrie Profile 2: Silmeria which is another on the list of the "highest ToC for a DVD5 game", just like Xenosaga II disc I use to load everything. Hope this helps, I've sorta given up on experimenting to find the answer to this now, I've wasted a dozen discs so far on it.