I stand corrected: many carriers do not require a CDL to drive a cargo van.
However, I'd be willing to bet that the list of carriers who don't require a CDL and the list of disreputable [untrustworthy] carriers would have a great deal of overlap, and inexperienced people are their primary demographic for finding new drivers.
I think a cdl makes no difference and some companies only require it because they feel it protects them more legally.
Sent from my Fisher Price ABC-123.