If your vehicle is what is in your signature, then I'd say it might make a difference... The engine will have a knock sensor that will adjust the timing if it senses 'pinging' in the engine. A little more timing can make a little more power.
I've been running premium in my 13 Ecoboost and found it made a difference when towing a #7000 TT.. I used to run regular towing my old #5000 TT and it made a difference for me..
The trucks owner manual does suggest running premium when towing, but I ran regular the first time towing the new trailer.. It was a dog on the same route I took with the old #5000 TT.
Ran premium on the next trip, going basically the same route (over the pass on I90) and it was much better.. I was down to 3rd gear going up the grades and down to 45 mph on regular. Premium, I was back in 4th and back up to my 55 mph and it even ran cooler.
So, for me, it's working better.. But, I do see that it does no good for other's.. It just depends on your vehicle, your situation and your environment and your own 'butt dyno' that's gonna determine what works best for you.
Until you try it for yourself, you will never know. It might be better, it might not?? Who knows?
Good luck! Mitch
2013 F150 XLT 4x4 SuperCab Max Tow Egoboost 3.73 gears #7700 GVWR #1920 payload. 2019 Rockwood Mini Lite 2511S.