I, personally, hate how people use gender and sex interchangeably. Sex is biological and gender is social.
As you say, and as I believe, and in vehement opposition to this ridiculous doctor, what are traditional gender roles are outdated and need to be changed.
If a man and a woman are in a heterosexual relationship, I see no problem with a woman who has a three month old baby using a breast pump to extract milk and filling some bottles, or using infant formula to prepare some, and saying to her husband or partner, "Okay, there's four bottles of milk in the fridge, nappies are on the lower rack of the changing table, there's so teething gel wherever. See you, tonight," as she goes off to work and he stays home with the baby.
As I said on another post, many kitchen playsets are geared towards little girls but some of the world's leading chefs are men. And so what if a heterosexual couple have it that Mum likes tending to the garden and Dad likes baking cakes!
In my native Australia, not every man likes using the barbecue (I can use a barbecue, but I prefer an air fryer or the stove).
This ridiculous doctor claimed that women were becoming too much like men and thus unattractive to men, and he claims that he hasn't met anyone who doesn't agree with him. Well, I haven't met anyone who agrees with him! I say, what he is really doing is reinforcing the glass ceiling.
He also claims that if another person is giving you things a partner could it could threaten your relationship. To that, I say, nonsense. You may meet a partner, but there will always be areas where you and your partner have differences of opinions. And, I remember a woman on a dancing competition show jokingly saying that she saw more of her dance partner than she did of her husband. Does that mean that her relationship with her husband is under threat? Well, no. Her husband isn't interested in dancing, but he obviously loves her for other things and chemistry between people on the dance floor doesn't always translate into chemistry elsewhere. Boundaries are the key.
Other than trumpist potties, most people understand that gender roles are far more nuanced and that people are individuals who should not be defined by their gender.