I am hoping beyond hope that you are not actually a genuine poster. If you are, you need help with this parenting thing. Really.
Your kids are not "soft" (whatever that means) but they are human. Human children ARE affected by their parent(s) shouting, swearing, threatening, "losing their shit," calling them names (yes, "brat" is name calling). You might not see it now. But watch them turn out to have problems with anxiety, low self esteem, people pleasing, hyper-perfectionism... to name a few.
You have no idea what goes on most of the time in that house. Maybe her kids normally have a "one hour each" rule for the TV, and the youngest was (clumsily, as five year olds are) just taking her turn. That would explain the older child's acceptance of the situation, wouldn't it? Did you stop to ask before you "lost your shit"? Maybe you're going to argue that this wasn't the case - fine, but my point is that it's just an example of any number of possible reasonable explanations.
Even if not, and she does just capitulate to the younger child's demands, what kind of a friend "loses their shit" about such a minor thing, rather than asking their "friend" if everything is okay? Maybe she's exhausted parenting a NT child and struggling? Maybe she doesn't know how to handle her kids' arguments, and she's in this downward spiral of giving in and can't claw her way out of it? Maybe she really needed a friend, and some support. Way to go showing her (and your kids) your version of "friendship."
Different parents have different rules. Different people have different rules. I don't ask guests to take their shoes off, but when I'm in someone else's house who does, I take my damn shoes off. You have no right to dictate what happens in another person's house. You kicked off because YOU didn't want to parent YOUR child - what would have been wrong with explaining to your child that in this house, everyone takes turns with the TV and their turn was now over?
I don't know if your posts on here are just bravado, you're trolling, or you're actually telling the truth. If it's the latter, get proper parenting help. Your kids are being affected by your behaviour, however "not soft" you think you have forced them to be.