That's not true. We knew there were serious consequences and that microbiome was important from before antibiotics were even a thing.
>The body also doesn't have a way of spontaneously ejecting the appendix. I would describe this as the body being happy to let it stay there.
It has a way of doing so over evolutionary timescales, which is not true for EBV.
>A few days ago there was an article where a virus was used to fight a bacterial infection [1].
That is a bacteriophage. It is a virus that does not infect human cells, but only bacteria. We've known about them for decades.
> How can you earnestly say it's impossible that any virus that makes its home in the immune system could play a role in the immune response? Proving negatives is really hard.
I don't need to prove a negative, you have the burden of proof. It's absolutely certain that has an impact on immune response, we know that, it's just that every single effect we have seen so far has been negative.
> The problem with statistical medical studies is that in general samples are non-random (as you note in another comment) and cannot easily control for any of the 1M (lower bound) confounding variables.
There aren't 1 million confounding variables as far as sampling for EBV. You could feasibly account for all remaining variance, or enough of it to know that it doesn't have a sufficient impact.