I'm pretty sure this guy's racist or something horrible like that

I might just use a seed of the giants tree, dince this guy is such a pain in the ...

I suggest using toxic mist. It will take all 3 uses, and he won't attack you during; he will only try to run. This will allow you to chase him and simply wail on him while he's wide-open and attempts to use a corrosive urn. May take 2 chases, but he still won't attack you, because he's set on running away to heal.

For the Frozen Eleum Loyce Maldron, that is.

If you're having trouble with Frozen Eleum Loyce Mauldron, even after opening the gate, there is one thing you can do. Once you get the free backstab in the room you meet him in, just stand in the doorway that he runs through. He cannot phase through you, and he will not attack you. You can body block him and just keep attacking. If you do it right, you'll kill him before he even gets a chance to run to Jabba. I found most success sticking to the left side of the doorway.

For the Ivory King encounter, if you don't feel the need to kill him you can make sure you've lit the bonfire near there (it's across the bridge in a house a bit further back) and hit him until he runs away. Pull the lever then feather/bone/run back and rest. Then when you've reset, run across the bridge without entering the house he's in and drop down so you can run straight through the open gate. if you run and dodge well enough you shouldn't take any damage (the hedgehog things are the main issue so be careful). If you keep running the enemies should stop chasing after that. You can progress comfortably from there with no stupid assassin making your life difficult.

You can block his way at the door and use toxic mist to bring him down.

In Eleum Loyce, after wounding him until he runs to the dead end corner (assuming you haven't opened the gate to Jabba yet), you can lure him to the elevator room you first came down in. He won't be able to get through the door (Note: Not tested in Scholar of the First Sin). Using a long weapon and good timing, you should be able to dodge his attacks and chip away at him allowing you a relatively painless kill. I've only done this once, so I can't attest to this strategy's reliability.

what do you mean ds2 doesn't have patches? its this *****er right here. ***** this guy.

TRyan using Lloyd talisman on him