Correct. This has been described as a feud that is internal to feminism, and the term TERF - trans-exclusionary radical feminist - applies strictly to women. These are experiencing the sort of suppression they’ve been happily inflicting on men for the last few decades and they don’t like it.
“Experience keeps a dear School, but Fools will learn in no other, and scarce in that; for, it is true, we may give Advice, but we cannot give Conduct, if you will not hear Reason, she will surely rap your Knuckles.”
— Benjamin Franklin, Poor Richard's Almanack