Although the databook was determined that the blaze release is an evolution of the fire release. I write this consideration:
Amaterasu is ninjutsu of the Fire Release. Blaze Release manipulates the flames of Amaterasu.
This mechanism vaguely resembles the Magnet Release: the sand(earth release) manipulated in this case by the wind release, the energy that manipulates the earth. To me the concept seems very similar.
The Blaze Release is an energy that can manipulate these black flames(fire release) through the lightning release. Accordingly "Blaze=Fire+Lightning".
What do you think?