I did vacillate back and forth on that question; however, I now know that it's doing both.
It sends out new rosettes (?) in fall at the woody bases that
do overwinter - plus there are a bunch of little seedlings scattered about as well. (I had thought originally that the plant would be sterile, guess not.
)
Thanks, Janice!
Those Cardoon seeds were shared.
I've no idea which variety they are.