You don't get more signal from one kind of cable or the other. But if you run a single ended cable on a balanced output ofttimes you have to reconfigure the output in such a way that it only gives you half the level. That is not the case with the Mainline or S.E.X.
At this time I switch between lightly modded HD800s and K1000s.
Just curious - is that the Anaxilus mod with the foam ring?
@glitches - I have paired both the HD-800 and Audeze LCD2.2(pre-fazor) with a S.E.X 2.0 with C4S upgrade along with upgraded output transformers to bring it closer to 2.1 standards. With it are some Mundorf Supreme capacitors in the signal path.
I also have a BH Crack + Speedball with some very nice tubes and a few miscellaneous upgrades.
IMO the HD-800 works very well with both amps, and my Audeze's work very well with the S.E.X amp. If I had an overall preference it's for the S.E.X amp in part for its more refined sound and in part for its ability to drive almost anything. The Crack is incredible for its price and endless mod/rolling options, but the S.E.X would be my current desert-island amp, and I think that's the jist of this thread.
If you're torn on which BH amp to go with (and I'm assuming this thread caught your eye because of that) my 2c would be to not worry so much about the cabling at this point. You have LCD-3's inbound, a TOTL set of cans for sure. I can tell you the S.E.X will drive them very very well. There is power a-plenty for planars. Add in the cost of the C4S upgrade and some cap upgrades (if you go that route) and you may find the Mainline is the way to go. There's a lot of truth in what many Head-Fi'ers have found: get the best and you save a lot of experiment-money along the way. For others that's a well-spent part of the journey, and certainly something many Bottleheader's have been through with no regrets at all - just the enjoyment of DIY and upgrading your way to your own personal goals.
Wish I could tell you if the Mainline is a better choice for those LCD-3's, but I haven't heard it yet. I can only say the S.E.X is a great pairing with 2.2's and any other can I've thrown at them. Don't get caught up in the cabling thing.