Analysis being determined by a(n essentially) democratic vote is actually just replication of results.
While the system is highly flawed now, I would argue that collaborating to build perfect experiments carried out by multiple labs would not be a good idea. You point out if people made the same sorts of choices then perhaps everyone just has the same biases and errors. But if all the people on one experiment collaborate, then they'll definitely all have the same biases. Instead, independent verification in which the nitty-gritty details are abstracted away for a more general methods section would allow for more alternate takes at approaching a problem.
While the system is highly flawed now, I would argue that collaborating to build perfect experiments carried out by multiple labs would not be a good idea. You point out if people made the same sorts of choices then perhaps everyone just has the same biases and errors. But if all the people on one experiment collaborate, then they'll definitely all have the same biases. Instead, independent verification in which the nitty-gritty details are abstracted away for a more general methods section would allow for more alternate takes at approaching a problem.