You can choose a color picker in the preferences. See "Select a color picker".
If you want to make a feaure request, then I recommend using the feature-request form. Posts on a user-to-user forum aren't an effective way to make feature requests. See this post for recommendations for ways to communicate with Adobe personnel.
The color picker you displayed for AE is the Apple color picker, not the AE color picker. The AE color picker looks far more like the photoshop and illustrator color pickers.
Go into your AE preferences and uncheck "use system color picker" (or something like that), and you should get the default AE color picker back.
There is no such Pref option.
Sorry. I see it.
I don't how we missed this.
Your Illustrator and Photoshop color pickers would look the same if you selected the H (hue) radio button in Illustrator. You don't have access to lab space in Illustrator so there is no need for those value boxes.
Hope this helps.