Of course Samsung's has a better display no one will go against that but when it comes to smoothness and operating the iPhone definitely takes that
Better how? Just in resolution?
I'll give Samsung black levels obviously since it's AMOLED.
But this year just based on what we've heard I'm leaning towards Apple for overall display quality. Color accuracy will be great, just like it is with modern Samsung displays in Basic Mode (other modes are not color accurate).
Where Apple trumps Samsung is with DCI-P3 support and OS-level color management. Yes, the Note 7 is also DCI-P3 capable, but Android lacks the capability to handle it properly. What this mean is that when Amazon Instant Video comes to the Note 7 with HDR it's Samsung that has to flip the switch to DCI-P3 and not Android as an OS.
"But it doesn't matter who flips the switch". Maybe not today. But it WILL matter when more apps want to use the extended color range. Samsung will need to white list every single one of those apps. That's extra work for Samsung AND the developer.
On iOS color management is built in to the OS. It's an API that app developers can use to have the display switch color spaces automatically. This makes it much easier for apps to decide to use the extended color space.
Maybe this won't be much of an issue in the long term. Maybe next year Google will put proper color management into the OS. We don't know. But what we do know is that RIGHT NOW Apple has a trump card when it comes to displays.