In my experience servicing NOS Sachs freewheels, the original grease turns a caramel brown and tends to be all over the place. My guess is heat and humidity ruin the grease over the decades and gravity causes it to migrate to the pawls.
I use a sticky synthetic grease, Super Lube, just in the races, and enough to hold the bearings in place for assembly. I place a drop of high grade machine oil on the pivot of each pawl. I then use my finger to rub a moderate coat of the same oil on the ratchet teeth. If the freewheel body had shown signs of rust before cleaning, I rub the body inside and out with Super Lube as a preventative.
Here is a Sachs outer body ready for assembly which received a "rub-down" in the Spa. Also notice the "glistening" on the ratchet teeth? That's the oil.