The problem is that for such high power in a small package there is a lot of heat generated. If left on for too long it will damage the led, so hardly any manufacturers actually warranty their lights for 10440 use as if handled incorrectly they could be damaged by it. The ones that do warranty them, that are 'designed to take 10440's' have the output cut down dramatically to stop the possibility of the light overheating even if used irresponsibly.
However, most lights of AAA format can take 10440's for ultra high output, you just have to be careful with how you use them. I would recommend picking up an iTP A3 3 mode as they aren't very expensive, and then just using it on 10440. If you break it but liked it enough, then just get another and be a bit more careful next time.
The illuminati would be slightly brighter as the XP-G has a lower vf and better efficiency, but would also create more hear in a titanium body which is worse for dissipating it and so be even more likely to get damaged. I think your LD01 should be about the best you can use with 10440 anyway for output, utility and heat dissipation etc.
