FH - yes, that's about it. You can have thousands of hours of multi-pilot jet time in public transport operations, but until you go for a type rating in a "bigger" aircraft than a CJ, you will not get an ATPL.
But note that it is a CJ problem, not a "Citation" problem. A type rating in one of the "multi-pilot" Citation 500 or 550 series would be a simple exercise if you are a current CJ2 pilot, and would immediately unfreeze your ATPL.