Isn't that why most "license agreements" contain arbitration clauses now?
Literally smalls claims / arbitration works.
Apple is happy to do this because even when the arbitrator decides they're in the wrong it'll 1) be much faster than court 2) be much less than a jury awards. There are pretty much 2 arbitrators in the US and so they can afford to lose a single client.
Its only uphill if you have an actually bad argument such as _just_ the statement "they broke our TOS.".
Additionally (I am not a lawyer) arbitration does not override any court or have any authority unless authorized by a court. If a party does not cooperate with the arbitration, the other party still has to go to court to convince a judge that the arbitration was good and get the judge to enter a judgement against the noncompliant party.
If as a consumer, you agree to arbitration and it is grossly unfair, you can still go to court and the judge can decide whether or not to use the arbitrators ruling or make their own ruling. The other party would also have to convince a judge that their unfair arbitration was fair.
In terms of the arbitration itself, it is very hard in the US to get an arbitration award overturned. So, wouldn't bank on that.