I can confirm it. Anything you want to release that is even tangentially related to cleared work needs to go through the gov't first to vet it for classified info.
That's not true for life and not true just because you have a TS. It is true for certain compartmentalized programs and their ilk, but a GENSER TS does not bear this responsibility. It merely acknowledges that you've had a NAC and an SSBI performed - nothing more.