EDIT: Oh excuse me i realised something. I did click on your links before but somehow I thought you linked to an 850W Thermaltake. I must've had another tab open or something. That Thermaltake 1500W is a beast of a PSU, but I think it's more than you need, unless you're planning quad-SLi. Also, at the wattage your drawing, I would want all the efficiency I can possibly get so I'd go with 80+ gold.
--original:
Yeah, that's one reason. Keep in mind that I'm not a professional, but to me single-rail is obviously a simpler way to build a PSU. Multi-rail is kind of a coin with two sides... On one side, a high quality multi-rail PSU will distribute the power to the cables in such a way that you can't saturate any of the rails no matter what hardware you connect. It's a safe design if done properly. On the other side of the coin, you can have a low quality PSU with multiple rails that are not sufficiently overspecced. And so, if you attach the cables to something that's more power hungry than the PSU was intended to be used with, you're in trouble.
But a good single-rail design will have enough +12V ampers for any combination of hardware that doesn't exceed the rated wattage of the PSU.
Antec HCP-1200 is actually an eight rail PSU, each rail has 30A max. That doesn't mean you can load all rails at 30A simultaneously - it's rated at 99A for all combined. I'd assume the cabling is designed in a way to make saturating any of the rails impossible. In this case, I wouldn't really take the multi-rail design as a minus, it's a very very high quality unit.
Enermax Maxrevo 1350W is a 6-rail PSU, 30A on each. Again assuming the cabling is designed in a way to make saturating one rail impossible.
AX1200, on the other hand, has a single 12V rail rated at 100.4A, enough for your purposes.