I rarely see minorities arguing that they're literally no different than anybody else. Co-opting the Riddle scale [0], that sort of view is "you're not X, you're a person!". I believe the differences between people should be celebrated, and absolutely not used to discriminate. If a story is written about how a Japanese immigrant went through struggles coming to America, it would be disgraceful to have a white woman play that role.
The reality is that the majority of Americans see trans people as different. It would be wonderful if that weren't the case, but until then, any cis (non-trans) person playing a trans person is going to be a caricature of the trans experience (although a cis man playing a trans man would be slightly better). Trans people continually try to argue that they're in the same overall category of cis people of the same gender, i.e. {trans women} ∪ {cis women} ⊆ {women}. It is a uniquely minority experience to see someone who cannot understand your struggles pretend to have them for a day.
A common thing I see amongst "anti-PC" folks is the confidence in arguing a point in fields that they simply don't understand, and the hypocrisy that comes with that. She states that the norms that prevent using racial epithets or using gender as an insult are perfectly fine. Immediately after, she invalidates the experiences of all trans people in a typical fashion - "trans people are a performance and not their gender". If her mind had existed in 1970, she would've been perfectly fine with racial epithets, and argue that the people trying to tell her that's wrong are needlessly PC.