Let me analyze the reasons why I think so:
First of all, Luffy is very strong. It is not an exaggeration to describe it as a top player. More importantly, the speed at which he became a top power is the first person in a supernova to become the Five Emperors and step into the ranks of top powers. The public execution of Luffy can rub the spirit of pirates well. Although the effect may not be as good as killing the white beard, it can always play a deterrent role.
Secondly, Luffy has a background and a deep background. Although the number of straw hat groups is small, this is only a superficial phenomenon. So what kind of power is hidden behind the straw hat? In fact, the power behind the straw hat is far more than that. The 5000-person straw hat pirates, 66, flame tank pirates and sun pirates actually do not belong to the straw hat group, but since the Cake Island incident, the world government seems to regard them as part of the straw hat pirates. To tell the truth, if Luffy can attract so many pirates by himself, the navy really makes money.
The third point I want to talk about is Luffy's father. Lufei's father is a revolutionary soldier with a high status. He is a relic of the revolutionary army. When Luffy was chased by smoky people in Rogge town, the dragon had come to help. With this precedent, assuming Luffy was really caught by the navy and publicly punished, the dragon would probably come forward to save Luffy.
Because of this relationship, Luffy has a revolutionary background, and leadership alone is not enough, because if the second in command is not good for Luffy, then Luffy is also in trouble. So what kind of person is the second in command? Saab's second in command actually cherishes his younger brother Luffy. In the face of Luffy, he can really abandon all principles. Do you think public punishment is more in line with the behavior style of the navy? It's a small business that only makes money.
This is my reason. If it is reasonable, please like it.