the After effects plugin of the same name ,”Adjust -> Color Balance” is functionally identical to the Photoshop one.
It has a different GUI: you see all 9 sliders at the same time and they’re not labelled cyan – 0 – red etc. just Red Color Balance
“Adjust Image -> Color Balance (HLS)” is more of a very simple Photoshop “Hue/Saturation” without coloration and without a range selector.
Don’t confuse the both !
Also if you have the AE6.5 installer cd, Color Finesse is included on the cd via a seperate installer (along with other stuff such as 3D assistants lite etc.)
If you don’t have 6.5, upgrade! It’s great value.