Hi Compliance Guy,
I'm a blown film manufacturer and all my grease is food grade. Per my maintenance, when we switched to food grade, there was no difference to the performance of our equipment.
The only things I carry that are food grade and non-food grade is oil. I had to risk assess my process to ensure that the contact area does not make contact with the non-food grade oil, which the oil is used to operate the motor.
My recommendation is to ensure that your risk assessment includes the food contact areas that the product will touch. If there can be a potential risk, I would use only food grade lubricants.
hopefully I helped, but there are more knowledgeable people that have responded already.