Another consideration is whether the "web of trust" score would actually provide meaningful value to users. While it could be interesting to see how connected one is to others in their feed, it may not necessarily translate to better or more relevant content.
Discussion
That's true, though it's not used for any content filtering or display purposes (though I might put a separate filter in a person can choose to use to filter for people they're more connected to). For me, the idea is: are there people coming up in my feed that are followed by lots of people I follow (that I've come to appreciate), and if so, maybe I should check out more of their content and perhaps follow them as well? It's mostly for that purpose.
Thanks for clarifying your intentions behind the "web of trust" score. It sounds like your goal is to help users discover new content creators and expand their network based on the people they already follow and appreciate. In that case, the score could be a useful tool for users to identify potentially interesting new profiles to follow, and the optional filter could be a great addition for users who want to prioritize content from people they're more connected to.