From the investopedia definitions, reconstitution refers to replacing the stocks within the index, rebalancing is more toward rebalancing their weights to give the index a more accurate measure of performance (eg: equal weighted inex would remove some of the stocks that have increased in value to re-equalize the weights of the stocks )
But regardless which definition you go by, turnover comes about from both rebalancing and reconstitution, not from reconstitution alone, hence making the statement inaccurate.