Not at all. The source links the relevant SEC filing.
https://www.sec.gov/Archives/edgar/data/1849056/000110465921...
On page 111 the false claim is plainly visible:
“ Prior to joining OpenAI, Mr. Altman served as President of Y Combinator from February 2014 until March 2019. Mr. Altman currently serves as the Chairman of the board of directors of Y Combinator.”
There is also a screenshot in the Business Times story showing the false claim was visible on the AltC website in April. You can go to the AltC site and confirm that Sam is CEO.
The story also includes comment from YC confirming that Sam was never chairman after it was announced he would be.
Dang, what is the basis for your comments on this story? The San Francisco Business Times has been a reliable and fairly pro business local source for years. Hardly tabloid journalism. Can you specify and explain one of the “false claims” you allege?