I only had a brief moment to test out the game capture HD today, but it looks like it is only supposed to capture <480p signals by composite and I believe that it only does so interlaced. Very misleading packaging.
With that said, in the short amount of time I had with only a couple non-standard consoles, I was not able to get it to see 240p composite signals.
If it won't record 240p by component, I'd still be happy if it will do interlaced s-video recording, if it upscales to HD nicely. But I'm not ordering the extra cable unless I can get composite working first.
EDIT: on my way out the door, but just found this in response to similar issues:
"If it gives you sass you should switch between some different inputs(like HDMI/component) and back to composite to reset it, or just makes sure you turn elgato capture program on after you turn on the console and it has already went through all the producers(those have tendency to be in different resolutions). After that you can usually hit reset on the console itself (while elgato capture is still running )and it should be able to pick up everything no problem. You just have to try different combinations of turning on and off and it'll eventually work"