One of our members, Juma, did a lot of testing regarding octane and timing in the Endurance engine. Here is the thread:
testing timing advance
Given the equipment he was using, it seems pretty clear that our ECU's absolutely do allow timing to continue to advance until knock is detected. With premium fuel, he proved that the timing did continue to advance. That means more power at high rpm or when towing a load.
You can also do a search. String together words like "octane" "timing" and "power" and see what comes up. There is a ton of work already done.
My anecdotal experience is that it takes a couple tanks for the effect of the premium to kick in. I have not dynoed the truck on a chassis dyno, but have a G-Tech Pro Competion. That device does seem to show a slight increase in maximum power and torque, but it is within the range of error based on differences in temperature, atmospheric conditions and operator error in making the runs. It's probably 10 hp and maybe about the same amount of ft./lbs. of torque.
This is also very consistent with the rating of the Infiniti QX-56, which is 315 bhp with the very same engine. There is no evidence that the Infiniti has anything different in the engine, ECU, its mapping, its intake or its exhaust. The only difference is that Nissan recommends 91 octane or higher fuel.
It seems logical and the evidence collected on the other threads here seems to confirm that, indeed, you can get 10 more horses with 91 or better fuel.
Now, having said that, if you don't redline the engine when you shift, or you are not towing a heavy load, this will never be seen and will be a waste of money.
But, if you want to hook up with a Ram Hemi or take your truck to the strip for any reason, there is probably a reason to start running premium and give it time for the ecu to acknowledge the octane increase and let the timing advance.
BTW, ten horses probably will not amount to even one tenth improvement in either 0-60 or in the quarter mile, but might make a difference in a race where inches matter.