It’s like if you say “my job sucks” — not all parts of your job may actually suck, just the parts you hate. Or “the government is corrupt” most folks would infer that you are talking about a specific subelement.
If we lived in a society where women routinely mistreated men then flipping the statement wouldn’t be offensive. What makes it offensive flipped is mostly that generalizations about women typically encode harmful falsehoods that come from generations of patriarchy. You could not flip her statements in good faith because women do not treat men the way she described anyway.
As a progressive I hate that it isn’t simple as much as everyone else. But to fight for equality is to understand that the origins of the fight come from unwanted asymmetry and of course that’s going to be reflected in discourse.