Why do you think that states have "age of consent" laws? They're meant to tell 50 year old guys that a girl at or above that age is OK but one under it is not to be touched...even if she says yes. And that's because under that age a girl is deemed to be too immature to fully understand what she's doing.
Exactly the same with execution...under a certain age a kid is deemed to be too immature to fully understand what he/she is doing.
Maybe I should have mentioned the Nazis during the 1930s and 1940s. Do you recall some of the things that they did to kids? A 15 year old killing someone isn’t the same as a 40 year old killing someone.
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Bringing up what the Nazis did or didn’t do is totally irrelevant, and so is the age difference you think is so determinative. Arbitrary soft-science nonsense responsible for the murders of countless victims. Anyone old enough to murder another person is old enough to be executed for doing so!