It really doesn't matter either way guys because there is NO way to prove if he would have had to shave it off or not .. because he didn't end up in the film.
I personally think he would have had it because it WAS his trademark at the time... in fact when he shaved it the media made a big deal... and Indiana having one would not have impacted the story at all and the movie was made in the 80's when having one was fashionable.. even if the movie was set decades earlier. ... Kate Capshaw got to have 80's hair in Temple of Doom.
I am a community moderator, here to assist, keep the peace, and keep these boards clean and friendly for all. I am a volunteer, and not a Telltale employee, and my opinions are my own.