Why I believe that DoTs deserve higher damage than burst spells
1.) DoTs reapply, they don't stack. If CDR reduces the cooldown below the duration no additional damage is gained. However: single target DPS of burst spells scales extremely well with CDR.
2.) Dot have much more counterplay. Easier shielding, lifestealing or spellvamping back up before the whole damage is applied. Even if a DoT will kill you you still can to fight back and possibly kill your opponent.
3.) DoTs draw constant creep aggro and lead to "invisible" damage applied to yourself by poking the enemy laner. Especially on early levels the damage recived is drastic.
Considering these down sides I dare say that DoTs do deserve to have higher DPS than burst spells with similiar range / cooldown. Of cause spells have to belanced considering the whole kit.
However, given the recent developement that certain people claim that DoTs are "toxic" (no pun intended) for balancing and MORE powerful than burst spells with similiar damage/range/CD I feel these main disadvantages of DoTs had to be listed again.