I use engine assembly moly grease.
Specific greases only really need be used on rotating parts & then only really if spinning at high speed.
Anything will do, IMHO. It's just that the assembly moly grease is in a tube with a thin pointy nozzle which is easy & clean to use. Also it is right there on the shelf, handy. I use it for many things needing a touch of lube on assembly.
O.M