As several have said, most any grease works for the screw thread end closures, even used bacon grease from breakfast once. As for greasing liners, some come loose from the manufacturer and some tight and even a few we had to sand to finally be able to get into the motor case. I'm wondering if people that have had trouble getting the liner out had some tight-fitting ones and the grease made removal all the more difficult. I stopped greasing my liners years ago but everybody has their preference. Many of my friends give me their used AP motor liners for use in my sugar motors as I can sometimes get 5 or more reuses with them If you have a greased liner that is hard to remove, I've had some success putting the motor in the sun to warm the grease AND expand the motor case.
I should also mention that I had a cleaned motor case and did not have any grease and didn't think about using face grease or ear wax or ??? and fired the 38mm motor without any. I am lucky I can get one closure off to load everything in from that end as the other en has threads that are essentially fuzed together and can never get off...note to self, regrease threads after cleaning motor.