"As Johnny Depp says he's "moving forward," women's rights are moving backward." - she says.
She's not an abstract principle. She's an individual case. Sometimes women are seen as more truthful. Sometimes men are. In this case, she lost. In another, she won. She may have lost the second case due to lies she was seen to have committed in the first (eg gifts to charities).
The essential principle of justice isn't "believe the woman." That's woke and ridiculous. It's listen to both sides of any case and assess the evidence before you. The jury did that and decided she wasn't honest, he wasn't abusive and her intent was to defame him.
How is being seen by a jury to be lying and defaming a person a woman's right?