@evan I voted "Yes, but" before I read your explanation post.
I was thinking of features such as server A showing a "From around the Fediverse" list of posts, perhaps "curated" with high numbers of likes or retoots (to avoid objectional content accidentally being shown).
I'm not a fan of server A becoming a de facto proxy to the rest of Fedi. A web crawl could destroy a small server by using it like a CDN. Not sure what is a good approach (my lack of knowledge, not that there isn't one).