Interesting on the Handmaid's Tale.
Atwood herself states in an interview that she used material from different parts of the world, the Islamic revolution of 1979, the rise of Christian right, and the story of one white woman (Mary Webster) in 17th century New England who was accused of witchcraft, cleared of the charges, but whom a mob then tried to hang, then roll in snow, and then bury. She appears to have survived all that.
Atwood may not have used material from the way enslaved black women were treated in colonial America and elsewhere, and I can see why people would criticise the book and its author for that. I'm not equally certain that people, in general, think about the Handmaid's Tale as referring to white women only, though, and I have seen women of colour wearing the red bonnet and cloak in demonstrations in Texas.
The author of the critical piece you list also mentions that she regards the word 'woman' as exclusive, so she would probably prefer that nobody makes signs which mention women's bodies or women's rights for the abortion rights protests.
There's a lot of exclusion that comes from this new kind of inclusiveness. Planned Parenthood also advises protesters not to use images of coat-hangers or use the name of Ruth Bader Ginsburg.