Before deciding on a name, why not wait until you have the dog and post a picture. It might have a feature that might lend itself to a suitable name. Something like a spot, or a patch, big nuts, in which case you could call it Billy, (big baws).
New pads are not "old parts" so you can only be refering to the carriers, which if worn, need to be replaced. Grease is not a replacement for metal.
Grease only attracts crap.
We had one of those, it was a fixture on one of the ramps. There was a magnetic pick-up that was put on the suspension, and I seem to remember that it had a strobe light and an electric motor that you pushed onto the tyre to spin the wheel up.
Like the manufacturers, I use no grease anywhere when I fit new pads. The only place I lubricate, like the manufacturers, is the slide pins.
Where does it say to put grease on the back of pads or pad ears?