I've also used aftermarket batteries and never had any trouble at all.
You could stick a 25,000,000,000,000 mAh battery in there if such a thing existed and it would work just fine. The mAh and Wh ratings indicate the capacity, using a battery with a higher mAh rating is like putting a larger fuel tank in your car, the engine will still use the same amount of fuel, it just has a larger supply of it available.