The difference is in the internal resistance of the pack, not the max rated amperage of the pack.
In theory, a 25C pack should perform exactly the same as a 300C pack, provided they both provide the (for example) 16A continuous draw that the motor needs.
In practice, higher C packs just have less internal resistance, resulting in a bit more speed.
But the difference between an 11.1v 20C 1200mah and 11.1v 20C 4900mah is (in practice) absolutely nothing.
But you'll gain about 100rpm between a 15C 1200mah and 45C 1200mah.
Your motor draws 16A whether the battery is capable of supplying 20A or 200A.
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