Cameras do not put color Temperature and Tint into the Exif. At best, they might show your WB menu setting, such as Incandescent, which is just a setting, but is probably Not what the actual light was. Direct Bright Sun is probably an exception, and possibly is more of a constant, but otherwise, there are many variations of color for Incandescent, Florescent, Cloudy, Shade, Flash, whatever. Nobody measured the actual light. The settings are pretty much just guesses based on norms.
The camera puts a RGB multiplier into the Exif, for example:
WB RB Levels : 1.8984375 1.44140625 1 1
This is channel multipliers for Red, Blue, Green and Green (for the raw Bayer pattern).
The camera has already done this multiplication for JPG data (the data has been changed), but raw files are not processed yet.
Adobe reads that Exif and tries to figure it out. The default colors come out the same with this same multiplier, but the degrees K Temperature and Tint numbers are approximations. And Not meaning comes out correct, but comes out the same. No one knows what the correct WB ought to be for the exact light at the scene. That's why we use raw, to be able to correct it easily.