Because he wants to make his dad laugh. Simple as that.
Maybe Adrien says, 'Dad, why is Hawk Moth always so gloomy? Because he's in a bad'mood' (as in his evil plans).'
There are multiple consequences. Firstly, his relationship with his father will be forever changed. He'll no longer be able to trust him in the same way. Secondly, his relationship with Ladybug might be affected. She may be more cautious around him, not knowing if he'll side with his father. Thirdly, Adrien will have to face the public's reaction if the truth ever gets out. He could become a target or be shunned. All of these aspects make for a very intense and emotional storyline in fanfiction.
Maybe the joke is 'Why is Hawkmoth always so stressed? Because he has too many akumas to manage!'.
He might be shocked at first. In many fanfictions, Adrien would feel a mix of disbelief, anger, and sadness. He has always known his father as a strict but loving parent, and finding out he's Hawk Moth, a supervillain, would completely shatter his view of him.
Maybe his dad gives a small smile and a nod. He could be a bit reserved in his reactions but still show that he appreciates Adrien's attempt at humor. He might say something like 'That was quite clever, Adrien.'
It could be Gabriel Agreste. He has been a suspect in the original series for various reasons. He is often absent and has a lot of secrets. So in the fanfiction, it would make sense if he was finally revealed as Hawk Moth.
One idea could be that his dad initially reacts with shock and disbelief. He might start to question how he didn't notice all the signs before. Then he could try to use Adrien's identity as Chat Noir to further his own business or social standing in some way, creating a lot of internal conflict for Adrien.
A good fanfic about their bonding should have well - developed characters. The author needs to show the different sides of both Adrien and his dad. For example, Adrien's dad could be strict but also have a soft side when it comes to his son. It should also have a believable plot. Maybe something as simple as a day at the park where they have a meaningful conversation. The dialogue is key. It should feel natural, like a real father - son conversation.
He might tell his dad the cat pun fanfic because he found it really funny and wants to share the humor. Maybe he read it and just couldn't stop laughing at all the clever cat - related wordplay.
Well, it depends on how much his dad knows about Cat Noir. If he doesn't know much, he might be a bit confused at first. He could ask Adrien what exactly a Cat Noir fanfic is all about. Maybe he'll be dismissive if he thinks it's just some silly fictional thing that distracts Adrien from more 'important' matters. But on the other hand, if he realizes it makes Adrien happy, he might be more accepting in the long run.