Do you have data to back that up. According to test run by Jobst Brandt it is not true. These tests were run on sizes between 20 mm and 28 mm and show that a narrower tire at an equivalent pressure has less rolling resistance: http://yarchive.net/bike/rolling_resistance.html.
A wider heavier tire will accelerate more slowly and climb more slowly. These tests also show that rolling resistance is lower with higher pressure.