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I agree with you. These methods sometimes work, although there is no guarantee that they will always work.

On the other hand, and this is the good news, we can't know how often this approach will work until we explore it at length. It may work in a large number of cases.

The relativist is committed to the view that there may be cases in which two conflicting moral judgments are both true. In these cases there is no resolution even after all the consequences are agreed to and considered and all the logical inconsistencies are eliminated. But we don't know how often this actually happens. It could be that it is rare. The frequency of such cases is an empirical question. The theory of ethical relativism tells us nothing about the frequency.