There's a correlation, but not a causal link.

For example, lets say... A certain virus, that has a fever and headache as a symptom. If a pregnant woman contracts said virus, she likely will take acetaminophen for it.

Now, let's also say, that particular virus can cause the markers responsible for autism to activate.

So, since the virus is unknown, the only correlation we see is the acetaminophen use, while pregnant.

Did the unknown (yet) virus cause it, or did the acetaminophen use cause it?

This is a study in mice, using the word "likely" here is a stretch. And the discussion is specifically about links to autism, not developmental problems generally.

I haven't looked at the other links, but the first study was funded by WPLab, Inc.

WPLab, Inc just so happens to run https://www.preventautism.org/, so I can already see several biases at play, which could influence the conclusions drawn by such a study.

It's been know for decades that NSAIDs and acetaminophen are more dangerous then the pharmaceutical companies want us to think. They are the cause of the most overdose deaths in America (legal drugs).

To find a causal relationship between acetaminophen and autism will likely never happen, but a correlation is worth paying attention to. If people are telling you it's perfectly safe, they're confused or lying to you. There's no free lunch. Everything has a cost.

Mouse studies don't apply to human studies that way.