It is, moreover, an observable fact of history, both past and contemporary, that the degree of the church's commitment to world evangelization is commensurate with the degree of its conviction about the authority of the Bible. Whenever Christians lose their confidence in the Bible, they also lose their zeal for evangelism. Conversely, whenever they are convinced about the Bible, then they are determined about evangelism. [1]Now to be technically precise, Stott doesn't mention "inerrancy" but the broader category of the "authority" of the Bible. Nevertheless, the issue is still germane. Does a denial of inerrancy and, perhaps more importantly, the impulse and attitude behind such a denial lead to greater fruitfulness in world evangelism? By their fruits you shall know them.
[1] John R. W. Stott, "The Bible in World Evangelization" in Perspectives on the World Christian Movement: A Reader edited by Ralph D. Winter and Steven C. Hawthrone (Pasadena, CA.: William Carey Library, 1981), 3.