I highly doubt there is a fake craftsman anything. If you are going to the trouble of counterfeiting chrome plated steel you are going to do SnapOn and the like.
This is perfect for those instances when grease is too thick and oil is too thin.
https://www.royalpurple.com/product/max-tuff-synthetic-assembly-lubricant/
They also make a good penetrating fluid.
This is a great question. Having used all of my old recipe Yamalube I don't know what is good anymore. They have changed the formulation on seemingly everything.
To each their own, but I would skip the chinesium stuff and go USA Made Proto:
https://www.protoindustrial.com/en/industrial-tools/Proto/Wrenches/Ratcheting-Wrench-Sets/JSCVM-20SA_Proto%C2%AE-20-Piece-Full-Polish-Metric-Combination-Reversible-Ratcheting-Wrench-Set---Spline-/