According to davis's article, the first study that coined biid also explicitly connected it to:

I believe the correct answer is gender identity disorder.

Body Integrity Identity Disorder (BIID) describes a phenomenon in which physically healthy people feel the constant desire for an impairment of their body. In other words, they are people who want the amputation of one or more healthy limbs or who want paralysis. In some articles, this disorder is compared to gender dysphoria, studying their similarities and differences, and arriving at the conclusion that BIID may be a new type of identity disorder.