Son is E-3, father is 1 step above ...E-4. Not much difference in rank - therefore more likely to be “brotherly” or comrades in arms.
OTOH - there are stories of older officer parent with young enlisted son (or daughter) ...and there has to be the separation to maintain the no-fraternization principles for good military order.
I deployed to Iraq with my son - I was First Sergeant of an infantry company, he was the newest kid out of AIT. I picked the platoon, squad and fire team he went into, and that was the last thing I ever did for him. From then on he was on his own.
At one point some of the guys wanted him to complain to Step-mom and get me to go easier on them. He told them “You don’t know my Step-mom - she’ll tell him to lay it on harder!”
322 days of combat ops and everyone came home.
And yes, I worried everytime he went outside the wire.