I'm surprised that nobody has pulled you up on this as it is plainly inaccurate. NP has not been sacked as a result of the 'actions' of his adult child. He has been sacked because of a breakdown in the relationship between him and the owners because they decided to sack his son (and two others) for gross misconduct and he didn't support this. It appears that pretty much every one of us supported this decision except him.
Were NP to remain as manager and report for pre-season training on Monday, the first question the media would be asking him is about the events in Thailand and his reaction to it. If he could not respond in a way expressing support for the clubs decision, his position is untenable.
Perhaps if that was the only such incident in his time as manager, there could have been a way to fudge through it. However, it is plainly obvious that he has pissed off the owners with his behaviour on several occasions over the last few months. He was out of order and punished by the Premier League for abusing a supporter. He was dismissed and reinstated following the absurd strangling incident. He alienated many members of the media with his idiotic and bullying treatment of them. And throughout, he showed no remorse or accepted no responsibility for his inappropriate behaviour. And remember that these are just the incidents in public that we have witnessed.
In my opinion, NP simply got too big for his boots. His position of authority and power at the club went to his head and he believed that he was able to act with impunity. If was obvious to him that the managers behaviour was important to his employers yet he defied this again and again. I've always said that NP is fundamentally flawed as a man and a manager and this is a perfect example of it in action. He was so spot on about so many things in his time at the club but he failed to show respect for his position and was fundamentally misguided in his decision-making.
That's why the decision to sack him is correct and should be supported. Frankly, our owners have earned the right to make this decision and our respect that they know what they're doing.