From what I remember, higher octane is not any more 'potent' than low octane. The octane level merely is a resistance level to detonation.
Meaning if the motor is designed for it, it will run better with the proper gas. If you have an older car and start to get detonation as the miles go up, using premium gets the pinging to go away (detonation). Detonation can happen from hot spots in the motor from deposits staying hot and such.
Our bikes are made for premium, so using less than that can cause detonation because the fuel burns too easily.
Don't quote me on all that, but in the past 2 years that's what I have gained about it.
I use regular in my car, once I hit 100k I will probably go to midgrade. (unless I boost it, in which case the motor will be torn down anyway...) then I will go to premium with a tune!
Bike, atv, boat, all get premium.
I don't trust octane boost that much, but I'll use it if I forget or can't get premium.