Arya had a system solely focused on earning points by becoming popular. The points came not from her fame, but from her invention's fame, based on how many of her inventions were bought and how much they earned.
From the age of 3 when her brain had grown enough for her to think everything clearly, she had gained access to the system with a few blueprints available to her.
She planned on making them all when she was old enough, but when her mother died just 2 years later in a house fire, Arya decided that she couldn't wait for much longer.
If her inventions could save people, she would do so right away.
So, after the funeral, she decided to tell her father everything.
Zarius was shocked and confused at first, but Arya had always been a weird child. The new information simply explains why she was weird.
He accepted his daughter's knowledge and wisdom and began working on the different inventions.