Any possible power gain in fuel with higher octane ratings, is due to its resistance to engine knock.
Engine knock is the phenomenon that we actually know very well of a diesel engine. It's the sparkless ignition due to compression.
in the compression stroke in any 4-stroke engine, the fuel/air mixture is compressed. The higher the pressure, the higher temperature as dictated by Boyle's ideal gas law, P*V = n*r*T.
If the volume V goes down (piston goes up), the pressure P and/or temperature T must go up. n and r are constants.
If the temperature reaches a certain number, the fuel/air mixture will not ignite on spark, but will self-ignite. Other names are detonation or auto-ignition.
This usually is bad for performance and engine life, but it is also considered the holy grail in petrol engines (known as HCCI, look it up on Wikipedia, very interesting!)
These little self-iginitions do not occur simultaneously, causing little explosions with their shockwaves at random places in the combustion chamber. This is the pinging sound you'll hear.
In Dutch, it's sometimes simply referred to as 'Ping'
Now an engine usually deals with knock by an earlier ignition timing, after it senses knock with a knock sensor. This way, the ignition by the spark plug is too early, but at least not damaging the engine.
So now we know the process of knock. Why do we want to be knock resistant?
For higher performance, you want to burn more fuel. Fuel = energy and more energy = more power.
To burn more fuel, you'll need more air, about 1 cubic inch of fuel requires 17 cubic inches of air to burn nicely.
So more fuel = more power but for that you'll need more air. Aha! Let's push some more air into the cylinders... higher boost pressure from the turbo.
So now the pressure of the gas in the cylinders goes up (higher turbo boost). Remember P*V = n*r*T? We're upping P already before we started the compression stroke.
So T goes up, increasing the chance of knock. This is where the possible gains of a higher octane level fuel come in. They can deal with more boost.
But most VAG engines are tuned for running RON95, hardly receiving any gain from RON98. They simply don't come in the region where the engine knock drops performance.
If you tune your engine in such a way, that you'll get into the knock region with RON95, that's where you can expect the gains in higher octane level fuels.
Myself, I barely notice the difference of RON91 (they sell this stuff in Germany, dirt cheap) or Shell V-Power Plus which is said to be around 99-101.
You could get an intercooler upgrade to overcome engine knock too, since you're dropping the T of the inlet air. Just saying

Long term it might even pay off...