The thing is, father/son partnerships have come through the ranks from karting - a lot of travel together, a lot of financial input from the parents - they probably feel the right to be there and the driver probably wants them there too.
Many/most of the drivers who get to F1 have a bit of a stunted upbringing IMO, in that they've often been pulled away from education in one form or another - missed out on activites with their friends etc. Sometimes the parents are humble, sometimes (often) they have plenty of money and naturally an ego comes with that.
In Jos' case, he's 1) has a bit of money from his F1 days and 2) is comfortable with the world of F1 and how the paddock works. He always was a bit fiery in his driving days and he clearly still has it in his support role of Max. It wouldn't surprise me if he's enjoying the quite substantial limelight which he never really had as an average F1 driver.
Edit: posted at same time as absinthedude - same kind of sentiment!
Edited by IrvTheSwerve, 01 October 2024 - 12:46.