The first action of sexual harassment in a professional setting is to handle it professionally by telling the management.
There's a huge difference between Weinstein's power to ruin the actresses' career and some unnamed individual at Naughty Dog.
It's also not up to her if that individual should be fired or not. It's up to Naughty Dog. The fact that Naughty Dog wasn't told about it makes their image look like their company is full of sexual harassers. They don't want that, and would prefer to resolve it without the social damage.
Now that she tweeted that out, the internet is going to take up arms and say that Naughty Dog is a terrible company that doesn't deal with sexual harassment.
If she has a problem with it, she has to resolve it. Individuals at Naughty Dog are definitely under strict scrutiny when it comes to sexual harassment. She has plenty of better options she could have taken than to just tweet about it on social media in light of the Weinstein case.
The method of resolving the Weinstein case and this Naughty Dog charge, or any professional company, is completely different. In my opinion, when there are procedures in place in a professional workplace, and a professional person does not take those channels to resolve the issue, their ability to be professional is diminished. She should have led, by example, on how to deal with sexual harassment with any company instead of simply tweeting it out and leaving it everyone else.