Standing water over a larger area for a prolonged perio during the high water requiring crop may change the hydrological dimensions and also rainfall patterns at regional level. ...
Rice being a semi-aquatic crop represent hydrology similar to shallow wetlands. While large areas of impounded water can evaporate, and cause local increases in moisture, rainfall change could be very localized through convection precipitation during summer months in many tropical areas. In much of south asian countries like India, largest portion of rainfall is through monsoons which are not local phenomenon and monsoons maynot be affected by the evaporation from paddy areas. In some tropical areas, local feedbacks to rainfall are higher in areas with large forest cover like the amazonian and congolese region.
@Pavel Groisman, @Richard Knight and @Thomas Karl addressed this issue in a detailed fashion in "Changes in Intense Precipitation over the Central United States" with respect to to corn and soybean. I'd expect their analysis to apply to rice as well.