In support of your scepticism I have to say there is something I'm always missing in these discussions about the alleged function of the appendix. That thing that I'm missing is a straightforward description of what are the consequences of patients losing these functions after an appendectomy. Surely there is more than enough population over which to do a case-study observational analysis? So, where is it? What happens to the immunity or gut flora of people who have had their appendices removed? Anything?