I wasn't intending the time we would get together each week for voting, instead for time spent discussing and clarifying any discrepancies we may have with the bugs. By the time we would have this 30 or so minute get-together, our votes would already be cast in Pagure. We would make sure we were all on the same page, and then use the meeting time to mark the bugs as "Accepted ________".
I like the idea of somehow merging the live meetings with the asynchronous process. Personally, I think the meeting I'm describing should be solely purposed as the "Acceptance/Denial Meeting", where the point is to review the votes in Pagure, and then manually accept/deny the position. That way, we spend a small portion of time on each bug, not voting, but reviewing the votes that should have been already cast. And, if any questions arise regarding a particular bug, we have a platform in which to have a real-time conversation with our peers.