Ok... attached scene.
3 PLANES, each has a diffuse bitmap trough colorcorrect node.
1 STANDARD MATERIAL
2 CORONA LIGTH
3 CORONA MTL
There is an animated parameter at each level... mean in standard material there is a animated glossines (0-100 range), then inside Color Correction there is an animated Hue Shift value (0-100 range) and finally a texture map with animated offset same range.
Similar idea for each material.
MATERIAL<-COLORCORRECT<-TEXTURE
You can see that only for Standard material there is accesible curves for each nested texture.
Corona mtls shows only first level only. See attached picture.
Select 3 planes and rigth click->Curve editor. (Press Q brings "Filters" Dialog, then Tick "Animated tracks" and "Selected Objects" to show curves for all animated and selected)
You'll find that only Standard show animated curves to the last level.