Do you have a citation for this?
For a CNA to submit CVEs they need to submit a CVSS score, initially 100% of their scores will be audited, if the score is 0, it would be considered an invalidly assigned CVE. Issues assigned a CVE must be exploitable by someone who does not already have access to do the thing described, they also must have documented impact to the confidentiality, integrity or availability of the impacted system. All of this means Linux being a CNA should not result in an increase of CVEs in unless they are already not getting CVEs for those vulnerabilties.