Yes, she's absolutely right. Clinging ideologically to the left is a cage for women. I've heard Labour women whispering to each other for years, horrified at what they see happening yet too loyal to make a fuss.
The left is no less misogynistic than the right. Why should we be so scrupulous about not appearing on a platform with someone who believes abortion should be banned — someone with whom we can argue — when on the left we have Jeremy Corbyn declaring TWAW and threatening to erase women as a sex class.
You only have to look at the Neale Gibson debate earlier, with Gibson throwing TERF around as if it wasn't and insult and refusing to criticise those who posted the Burn a TERF poster to see how little Labour really cares for women. I write this as someone who has always voted Labour but probably won't again — or not until the wheel has turned.