That doesn’t make any sense since there have been (and currently are) many great tzadikim among the chasidim that remained chasidic and many that were not chasidic but became chasidic. Besides, if we take that comment at face value it means you’re suggesting that the Steipler’s father and Rav Moshe’s father and great-grandfather weren’t great.
In line with what TLIK mentioned, Rav Hutner too is of chasidic lineage.