Interesting. I don't think any trans woman holds that belief though. I think that's something opponents to trans identities repeat as if it were fact to score points.

But it's actually a very progressive gender deconstructive point to make. Our culture does wed gendered traits to sex as if they were immutable when in fact they transition and change with the decades and centuries constantly. 'Performing' the act of wearing a dress in order to appear feminine now was a masculine in recent history, same for pink clothing, makeup, etc.

The fact that some trans women choose to do so is merely a way to conform within our culture and feel more comfortable in themselves within society when identifying with their sex. It's society's fault that we attach gender so closely to sex, not trans people's as individuals. If they want to 'perform' to feel safe and comfortable it's not sexist stereotyping.

Feminism moved away from that thought decades ago. Feminism knows that wearing a dress or makeup or behaving in a certain way is not anti-feminist in any way, nor is rejecting those things either. See third-wave feminism, or 'lipstick-feminism' to learn more about how femininity is not performative or sexist and can be enjoyed by anyone of any sex or gender identity.

You might also want to read more about non-binary agenderism as it sounds like you may appreciate that philosophy on a personal level.