It is true that you don’t need medical treatments and counseling to be trans. However, specifically within the context of gendered sports, the places that do allow trans athletes to compete with other members of their gender tend to require testing of hormone levels. When I’ve seen trans people talk about the sports issue, they’ve been fine with this, often using it as an argument why it’s OK for trans people to compete with cis people of the same gender. Most of the stories reactionaries are trying to scare people with are about trans kids who have undergone medical gender affirming care.

So, yeah, I think there’s some nuance lost here, but given that it’s satire with punchy writing, I don’t think it’s terf-level. But I’m cis and I’d be happy to be corrected.