Lovely car. From the auction listing, there are certain details which indicate it is a modern creation, or a poorly executed restoration.
Radiator issues:
1) Body work in front of the radiator blocks at least half of the airflow from the grill
2) Radiator is not supported at the top. Radiator supports are vertical bars
The brake fluid reservoir looks strange, mounted at the very front of the engine compartment
The interior shot shows a lovely, strong tube frame. The cross-bracing seems to be done in a very modern style. I haven't found images of a 1960's Barchetta, which requires you to step over that much of the frame, to get into the seat.