Byzantine fault tolerant consensus protocols are implemented with consecutive broadcasts but suffer from a low throughput at large geographical scale or planetary scale. A reason for this inefficiency is believed to be their all-to-all communication complexity, which led researchers to design new consensus protocols with more consecutive one-to-all broadcasts but cumulatively fewer messages. We show, through a step-by-step evaluation, ranging from LAN/WAN broadcast benchmarks to a state machine replication (SMR) application, that this intuition can be misleading. In particular, we identify two underestimated factors that can impact consensus performance much more at a large scale: (i) the goodput of the broadcast as the rate at which bits are delivered to the application and (ii) the hiccup or waiting time between consecutive broadcast phases. Finally, we show that a leaderless SMR with O(n^4) complexity can outperform a leader-based SMR with O(n^3) complexity by 20x. This work promotes a new family of byzantine consensus protocols exclusively based on all-to-all broadcasts that take into account these two factors. Our result promises to impact the design of blockchain systems that aim at performing well in WANs at a planetary scale.