As the pistons build up gunk it often decreases the overall volume, thus increasing the compression every so lightly; to the point where using higher octane fuel makes it run smoother.
Remember, higher octane fuel doesn't mean that it is a better gas, it just means that it takes longer to combust for higher compression engines.
It's not uncommon for higher octane gas to make engines run smoother that has built up gunk.
I used to be a hard core Shell fan and at one point and one of my cars only sipped on Shell until I sold it. The claims by shell are simply "claims." No one really knows, because petrol companies are hiding behind the whole proprietary nonsense and not being transparent these days.
I do think that Shell despite their claims remain the King of the Petrol jungle hands down, but over the years and due to the 4% cash back at Costco, I make my own Shell by just adding Techron full system additive every ~3K miles or so lol.
All the raw petrol is the same across the board, with the difference only being the additives each company adds to it. So instead of paying upwards of 50 cents more per gallon, if you buy a bulk of 20oz Techron for ~$9 a bottle (w/ 5% Amazon cash back in my case), you'd be on par with breaking even after only 18 gallons of filling up on Shell, which is pretty much one fill up.
I've always looked at it two ways.
If you use Shell and IF it really is potent with its claims then you're constantly cleaning and maintaining that, which is good.
If you use the Costco + Techron every ~3K method like I am, then maybe it's not cleaning as much consistently, but when it does clean on that full tank w/ 20oz of Techron... is having that concentration to 'shock' clean the build up as effective? Who knows...
If you want to go all out, use Techron every few thousand miles on top of Shell to have Pearl Fuel.
Indeed. That's what I normally do. Depending on the season I'll go through about 3-4 Techron treatments before an oil change. Sometimes my oil change internals overlap with the fuel treatment... I keep it pretty ball park estimate...
About that Italian treatment... usually on the tank before my oil change I'll take it for a good spin to try and burn off all the gunk.