It'd be a neat feature to allow blocking all messages from verified accounts.
Something I often do, when I want to retweet a news article in my feed, is find the reporter who broke it and retweet their account rather than the person I was following. I think it's good to incentivize original reporting and therefore good if those folks are given a larger platform. I'd hate for those folks to lose out.
That said, I'd also be very curious about impact beyond that.
Note: I don't apply this retweet-rule to news that would have been public had the reporter done nothing. For example, on SCOTUS decision days, while I LOVE the work SCOTUSBlog does, I don't particularly care who I retweet for non-analysis breaking news.