Wait... I thought pneumothorax was just the fancy Latin word for 'punctured lung'.
About that....A pneumothorax is air being caught in an area of the chest which restricts breathing. I think you usually need a punctured lung to sustain a pneumothorax.
I think that generally they use collapsed lung and punctured lung interchangably, but in Vingegaards case I think he literally had physical trauma to the lung itself and not just a collapsed lung from air in the thoracic cavity. There was some update about him having blood in his lung or something.