The reason is that the topic of the section is the outrage against comedy, not transgender* (what is the right postfix here?). He starts with a logical issue with the criticism of deadnaming wrt. Jenner, which is a reasonable point, but a good joke starter, because he can ridicule the argument brought forth. Then, the joke is to complain about unreasonable outrage while venturing into comments that could reasonably lead to outrage when used in a public speech (as opposed to the very legitimate use of Jenner's old name in the context where it was used), i.e. the chimp-joke. This makes for an obscure and funny situation in itself. On another layer, going beyond the context and to the moment-to-moment comedy, he uses self-deprecation to move the focus off transgender* itself while making some jokes about the chimp.