While this is certainly true for a few thieves, at least for other high-fraud industries, it's a case of running away from a bear - you just have to be harder to defraud then the other guy (in this case, other online marketplaces). Additionally, it's both more difficult to obtain an identity (particularly if locality is required to pass fraud checks) (whereas stolen CCs can easily be purchased in bulk) and not necessarily sufficient - for example, if the fraudster's contact number is verified against their identity, it again increases the threshold.

If the thieves have access to a local, legit person's CC, identity, and phone, then yes, you can't really stop them from stealing.