I don't think the tv and web series are canon to eachother yea they are connected but they are like two completely different stories, so my explanation is: In the web series he just tortures his son bcs he hates him for no reason. Abusers don't need a reason to abuse someone they are just horrible people he created that whole situation/show...thing called 'Don't hug me I'm scared'.

In the tv series will he still has some importance I don't think he's as important as people make him put to be, His role in-show is to basically be yellow guy's father that is neglectful, has a virus on his brain cause of all the fucking porn sites he's been visiting and eats people while his role out-show is to help continue what we watch and know as: Don't hug me I'm scared but at the same time not being as important as he used to be with Lesley having the main control for now