I think you need the taildragger endorsement. Same with aerobatics on a A152 Aerobat. You can fly that Cessna as PPL, but to do aerobatics you have to have an endorsement (and the plane must be released to do aerobatics).
But what in case you buy your own taildragger airplane within your PPL rating, and it's a single seater. So you cannot get an instructor with you. Or a rare airplane on which there are no instructors left- let's say you restored a Fieseler Storch. Does any taildragger training permit you to fly that Storch as PIC or is it type related?