Sounds like nonsense to me. The CBIR is one of about 7 ways to train/qualify to take a common IR test.
They're probably referring to the fact that the CBIR knowledge exam isn't as in depth as the ATPLs, which isn't an issue if you have the ATPL exams.
In any case, for an ATPL a multi pilot IR is required. Forget about the non-existent fATPL, all you need to get hired by an airline is a CPL, MEIR and ATPL theory credits along with MCC/JOC/XYZ