The vermiform appendix is where the three tiniae coli come together. Unsurprisingly, the other, rectal, end the tiniea coli don't so much end as they spread out into the longitudinal muscular layer of the rectosigmoid.
And of course the wall of the vermiform appendix is full of lymphoid tissue. The whole colonic wall is full of lymphoid tissue!
Source: I'm a pathologist. I have looked at way too much colon. And uvula, and pretty much every other bit of tissue you can imagine, under gross exam, under a microscope, and in situ (live in ORs and dead in autopsy suites).
This idea that the vermiform appendix is some deep evolutionary mystery is sort of a low point of medicine that occasionally pokes its head up. It ranks up there with male pregnancy, and various birth defects that have given rise to stories of monsters, like Cyclops. Fun stories, completely useless. Please don't invest in anything related to any of those. If you have money burning a hole in your biomedical investment pocket, feel free to reach out.