Charlie has an absolutely gorgeous swing.
But the thing about golf at the highest levels is that the mental component is equally (if not more) important than the technical aspects. And I think, personally, that its going to be difficult for a kid who grew up in a billionaire household to match that sort of 'edge'. Not to mention the additional pressure & expectations he will have placed on him being the son of a legend.
To offset these headwinds, he will need to have a ambition/hunger/focus even greater than his father, which is highly unlikely.
Again- he will all have the training and resources to go pro and win a couple of tournaments. But its highly unlikely that he is even in the same realm as his father.