PPM licensing

Hi - our large multi-site clinic was bought recently by a larger national group and so I have been dealing with getting our organization up to standards (not only state but the new org as well). We are not TJC or CAP, only state accredited. I've only been in the POCC position for 6 months and I am the first POCC for our org. Our main lab has a Certificate of Compliance and does moderate/high complexity testing. My understanding of laws is that any physician in our main lab building is covered by our COC, and as long as they are compliant with all the requirements for moderate testing (training, competency, blind samples, etc...) they can perform PPM. The people at the new org (out of state) are telling me that they each need their own CLIA PPM license...? Does this actually need to happen?