The Short Version
The claim materially misidentifies the governing EU legal instrument: 2016/679 is a Regulation, not a Directive. Official EU legislation identifies Regulation (EU) 2016/679 as the GDPR, and European Data Protection Board guidance confirms that it governs employee-data transfers to a parent company when they fall within its scope. The underlying data-protection point holds in that setting, but the stated legal designation is wrong.