Woody,
I have no idea about this PCE card, but I can tell you that the tototek SNES flash cart certainly takes more power than a regular cart. Not much though. This is all from memory (and probably wrong), but I *think* it was an extra 30-50mAh. Hardly worth noting. I believe when I tested a SuperFX cart it was the same or a little higher draw than the flash cart. Perhaps one was 30, one was 50... cant remember
Of course this was not PCE stuff, but I think you can expect the same from it. It will draw more due to the extra logic chips/etc that are not in a normal rom-only cart. But just like the SNES stuff the difference is probably not noticable.