I can believe that a 5000mah battery with a 60c rating is bogus, the connector alone can't handle that kind of amp draw. So I'm sure there is a 'amp' limit with the connectors, solder joints, and wires but that won't always translate to a 'c' limit.
If the 30c limit is true then I would have ruined my batteries long ago, that's not the most scientific answer but I'm not sure what other conclusion to draw.
With that being said, sure I'd love to see some proof.