Yes, but there needs to be two other distinctions as well.
1) There needs to be research to understand the “shades of gray”. Using just age of the victim as the sole criteria fails the “Traci Lords” test, but appearance criteria fails as well because of adult women who look underage, the “Little Lupe” test.
2) The flip side of this is the corruption of natural sexual attraction between adults, becomes adults attracted to children, as well as distinguishing those who are just attracted from those who do something about that attraction which is illegal. Should “Toddlers & Tiaras” be illegal? Using children as fashion models?
3) Then there is “organic” pedophilia, either physical (brain aberration), psychopathic or sociopathic.
However, despite all the above, society does not and should not in any way tolerate pedophilia based on the “We know it when we see it” criteria. It can only be parsed to a limited extent, and then only to determine the relative severity of punishments, including surgical correction.
Indeed, people know what is needed to bring peace and harmony. The cures are here, but there is this incredible unwillingness to seek them. Modernity has transformed people into some really weak individuals who enforce it with forces of arms and smart weapons.
Movies like Matrix are full of such subtle innuendos.