So that means if you are against majority thought you are shit out of luck. Just think of any time when majority consensus hasn't been the optimal solution.
A distributed system can easily make a majority decision that is unwise, like if the votes are based off of bad information. But if the different options of the decision could be formalized and checked/proven as part of the decision making process, based off of axioms and values that participants all agree on, then perhaps the most rational decision could be selected even if it's not what the majority was initially in favor of.