Not the same. Cross sex hormones and the amputation of body parts result in sterilization and the inability to have an orgasm.
He said, "They poison my body with blockers and hormones... The result? I'm a 23-year-old gay man who's never had an orgasm."
Did this person have body parts amputated (bottom surgery)? If so, which body parts? I did not hear him say this. Men can become sterile by taking testosterone also via a vasectomy. A vasectomy can be reversed. In most cases, this infertility is temporary.
Although a prostatectomy is not generally referred to as amputation, it does involve the complete removal of the prostate and most often the seminal vessel, thus it results in infertility, but "dry orgasms" are possible. Cross-sex hormones do not generally cause a total lack of orgasms.
An orchidectomy (orchiectomy) does not generally result in an end to orgasms. While it removes the main source of testosterone and semen, most individuals can still achieve erections and experience orgasms.
There are other reasons why someone suffers anorgasmia. Anorgasmia often revolves around high anxiety, severe stress, or deep emotional or chemical changes in the brain.