No but if it's a very bottom range one it could cause problems. I'm sure they're trying to help you out but really they should replace with an ESC that is the same model as the one that came with the car.
Do you know if it's a brushed or brushless ESC ? If you don't know it's quite easy to check, if it has two wires going to the motor it's brushed, if it has three it's brushless.
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