Liberal feminism isn’t actually intersectional, mostly because what it does is de-emphasize the oppression that women face because they are women. Liberal feminism actually tends to de-center womanhood and femininity from analysis - it’s not intersectional to refuse to recognize that womanhood itself is a disadvantaged status.
This is especially evident in the speed with which liberal feminists on the internet adopted the term ‘kyriarchy’ over ‘patriarchy’. Replacing ‘patriarchy’ with ‘kyriarchy’ subsumes women’s oppression into a vague, amorphous glob of bad things where everybody gets to be oppressed. Abandoning the word ‘patriarchy’ is refusing to name the offender. You cannot end male supremacy if you will not even talk about male supremacy, but in the name of ‘intersectionality’, liberal feminists decided that it was somehow a bad thing for feminism to focus on women’s rights.