Finished Crotas End on Hard three times last night, and once on Normal just helping a guy out. After beating it the first time on Hard, it was like a stack of dominos falling the next two times. The last time we had two lvl 32, three lvl 31, and one lvl 30, and it only took 5 or 6 tries. I think I might run it on Normal a few times with lower lvls so I can learn the Sword.
We used the middle strategy on Crota, and was lucky enough to have a Hunter use the Sword. The biggest problems that we had all night were bugs in the game. Knights coming through the glass barrier, Boomers teleporting from their tower onto the bridge killing us in the Ogre spawn then teleporting back to their tower, Thrall killing us through the glass barrier, Swordbearer being a chickensh*t, the Gatekeeper even warped into the summoning crystal room then disappeared on the sword possession that would have killed Crota. Its hard enough to stay alive through the whole battle without all the bug hardships.
After it was all done, I got the raid scout rifle(which appears to be really good), a raid helmet for my Warlock that I needed, the No Land Beyond sniper rifle that was immediately dismantled, and a raid helmet that I didn't need for my Titan. No Crux of Crota.
A couple useful tips I picked up on. It takes a total of 18 sword slams(right trigger) to kill Crota with a lvl 32. Crota will Enrage at 14 sword slams with a level 32(yes, there is a such thing as doing too good). According to our sword carrier, Crota moves every minute. Im assuming he is correct, as he was literally using a timer to help us. You can "funnel" the Swordbearer into position by shooting(but not hitting him) opposite the direction you want him to go(yes he is a scared little b***h that runs opposite the direction of danger).