Against No Hands Freeza, both of them had declared the warm-up was over.
Yeah, I don't think Goku considers his full base power a warm up type of power. Goku does say he is using his true power when he uses Kaioken against Ginyu, but the anime, the colored manga, and the narrative all seem to suggest that Goku is just using his full base power to combat Freeza when he isn't using his hands.
As you can see with Ginyu, Goku states he is outright using Kaioken. We never get confirmation against Freeza until he uses Kkx10. So without him stating Kaioken outright, there's no reason to believe he is.
What most people confuse here is that the Namek Saga is filled with a lot of flight auras, the more you start seeing the flight auras, the more you realize it's most likely not Kaioken.