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The DB wiki labels it as partial manifestation (Not as a name but a way to describe this state) We get to see it other times, when characters almost/are going to power up to SSJ, hence "partially manifesting" it. Vegeta even fights Broly for a good bit while using Super Saiyan Power, similar to Goku's instance but he actually transforms (thus the "fully manifested part")1. super saiyan power is just an excuse from Toei cause the animator forgot to re-colour Goku hair to yellow, so they need some in-universe lore excuse to get away from it, thus super saiyan power is born