Benny, conceptually, this could use a bit of a touch up.
First, "white light is all colors combined". Remember the prism experiment?
Second, the white jacket reflects all light, it doesn't absorb it.
Third, the black jacket does indeed, "absorb all light" . However, the full spectrum isn't mostly responsible for the heating, it's the infrared component, which is actually invisible, and at a longer wavelength than visible red. A filter designed to pass only infrared cannot be seen through with the human eye.
The sun's light both is and isn't actually white. Noon, June, Summer, daylight has a color temperature of about 5500 deg Kelvin. That's pretty white, but the color temp shifts during each day, and over the seasons due to atmospheric absorption. (Mostly toward the yellow red). But, both shade and the northern sky have very high relative color temperatures, because of all the blue. Because the light arrives through the atmosphere, it is transmitted and not emitted light, which reduces the presence of light spectrum other than blue.
So, "white" is a subjective term for light, and in large part depends on the quantity of blue component...

In a very bright star, the entire spectrum shifts towards maximum energy at the blue end, but it appears "whiter" than the sun's light. Hence spectral balance affects the appearance of the white light, but color temp measurement mostly addresses itself to the blue component.
The paradox is this, a blue star is hotter that a yellow star, but despite the high blue content of shade, doesn't translate that way in practice. It's the whole transmitted light, far red missing thingy.
I party pooped the whole turtle thing, didn't I?