You could be getting the leather
I use a very well wrung out NATURAL sponge..
You may want to try going back to something very basic..
You could try, very warm water,and a new sponge..
Go over the saddle just with the warm sponge to open the pores
Of the leather..I use the liquid Murphys Oil Soap when something
Is over conditioned or dead looking,, just a little on the bearly damp
Sponge.. work it in, I bet you see that greenie film rise to the surface..
Get fresh warm water and with that same bearly damp well wrung out
Sponge start to work it all out ..
Wait a full day, and then use a leather conditioner..