How are you having zero root options? What carrier are you on? Samsung are easily rooted. I love how people love to blame Samsung when it's the carriers fault for a phone being locked down.
I'm on AT&T. Samsung released their KitKat update with a locked and new bootloader. There is NO root available for the AT&T Note 3 on KitKat, nothing, nada, zilch. But you are right, it may be AT&T's fault since I believe the S5 on KitKat also cannot be rooted.
Don't get me wrong, I agree it might be a bit unfair to complain about a "hack" like rooting. But at the same time it's important to me as a consumer and will make me put my money somewhere else. It's kind of funny that the only reason I need to root is to fix some of the issues I have with Android OS.