The bike is sized and set-up appropriately for a vintage/trad bike. I believe this is now known as "French Fit". They all looked like this up until maybe 30 years ago. However the hoods should be moved down the curve until the levers are almost vertical for the real look and feel. Then your wrists would be absolutely straight, palms vertical, thumbs hooked over, except instead of riding like that, you'd ride in the drops. My first real road bike was exactly like that. I didn't know it was even possible to ride on the hoods until an older rider showed me how to adjust and ride on my hoods.

That said, I have seen photos of racers who would reach all the way around the curve to the hoods, their wrists bent way down, not up. Might have been relaxing, never tried it.