A higher capacity power supply won't make any difference as the shield is powered by the Arduino's 5v line so it's limited by the Arduino's 5v regulator which on an original UNO can supply up to 1A. Due to that I would surmise that it will run fine.
Dave
Powering with wall adaptor?
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Please be positive and constructive with your questions and comments.
Please be positive and constructive with your questions and comments.