Verification of parity in compensation encourages equality only if there is a clear mechanism to equalize levels. In general there will be mismatches in market forces, budgets, and the like (as well as seniority, the difference between people's opinions of themselves and their opinions of others, etc...).
Having some ambiguity about such levels is also an effective social mechanism that allows us to see each other as equals without needing to get out a ruler. Again, having an anonymous reporting scheme like levels.fyi strikes me as a very good idea, but open and interpersonal salary discussions strike me as a potentially bad idea.