>The reviewer is supposed to determine what goes in or not
This is not a given, and in fact, I would not recommend it.
For small code reviews with only one reviewer, the reviewer gives feedback and they have a conversation about it, but with only one reviewer the developer should have the final say. The problem with giving the final say to a single reviewer is you'll get plenty of pointless code changes to suit the reviewer's individual preferences. Don't waste time on what is a perfectly reasonable difference in opinion.
If you have more than one reviewer, but still a small code review, the final say should be with the reviewer(s) - if their is consensus (you could also go with voting, with its pros and cons). Having multiple reviewers prevents the likelihood of individual preferences dominating.
If it's a significant code review, the final say should be with an experienced moderator.