I can't compare the case to those you listed, but I purchased the Griffin Survivor Core from Wally World and immediately returned it when I put it on my phone. I didn't like the pointy edges, while I understand why they're there, just didn't like the ergonomics. Seems like an okay case in terms of protection, I like my Tech 21 case much better. I also heard the white Griffin case will discolor. I purchased the black one. Good luck.
Hi! I have both the Thule Atmos X3 and the Griffin Survivor Core for the 6 Plus, and I love them both.
To answer your questions about the two:
Grip: Winner is Thule Atmos X3
Sense of protection: Winner is Thule Atmos X3, if you are asking about the 'sense of protection'--it just feels more rugged. However, they are both rated to the same 2 meter drop protection level.
Lip: Pretty equal between the two
Size: Winner is Survivor Core. It is very slightly taller, due to the flared corners of the case, but it wins on thinness and case width.
Hope this helps. In fact, I just did a YouTube video comparison between the two if you are interested: