So I beat the Adjuticator tonight in NG+. I got killed twice but ended up recovering my souls both times. They were both just mistakes. One time I was trying to heal without getting far enough behind him and he got me during the healing animation. Blah... Anyway, since you have to go through all of 4-1 each time and I was able to recover everything the good news is I got 180,000 souls out of the adventure

. (Though that is only 2 1/2 levels where I'm at right now).
I'm sitting outside Flamelurker right now, waiting to go in.
I also took care of the Spider (got killed there from being careless too) and Fool's Idol. Right after I beat Fool's Idol I went up via the gargoles and grabbed the demon's soul from the archstone. Then I was talking to my son for a few seconds and then went back to the archstone to leave. But it wouldn't let me leave - said some nonsense about not being able to go back to the Nexus in multiplayer. I was, like, WTF!? I kept trying it and it said the same thing. Then, finally, about 30 seconds later it said I was being invaded! This was the first time except for once when I had jumped off a cliff and got invaded as I was falling (I hope that douche didn't get a win from that!).
So now it was on. But I didn't know how it worked, really. Where do you spawn when you invade? Of course I was right by the archstone. So I was deciding what to do and then there comes this black phantom right down the pathway leading from the archstone (so I have no idea where he actually spawned). He had tons of armor and a big-ass sword but no shield. I ran up and nailed him with my winged moon spear +5 and my son said he was almost dead (I was concentrating too much on his possible attack to even notice his health). Then he ran off past the archstone to the spiral stairs (this is beginning of 4-2 remember) and healed behind an obstacle I couldn't poke through. So then he came back out at full health and finally got off a huge overheaded swing which took 90% of my health and knocked me down. I rolled backwards just after getting up and he missed with his killing strike. Then I poked him a few times and even though I had almost no health he backed up, I guess, to heal. Then he fell down the void behind the archstone (where the gargoyles carry you up). I win

. I really had him down to just one more hit though on the initial melee. I wish I had finished him off then.
So, like, then I got nothing - jack squat - for beating him. WTF? I guess my CT would have gone up but it is pure white anyway.