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H1Z1 is generally considered more challenging to run compared to Overwatch.
It mainly comes down to your system specs and whether you've made the necessary adjustments (like using CCleaner and defragmenting). A quick online search shows Overwatch is the tougher title, but with up-to-date hardware you should handle both smoothly.
I also have a GTX 960 and it works smoothly with H1ZONE at 60 frames per second on the higher options.