Seven -- The largest Hasidic community west of the Mississippi River lives in my local small town, so I understand all about religious restrictions. Lard is nice ... but so is palm!
In case there are "pine tar virgins" reading this thread and wondering, here's how I make pine tar soap. Others will make this soap differently, so don't take this method as the only way to do it. My only clear unequivocal recommendations are to have your work area and mold well prepared before starting the soap and to stir the soap batter only with a spoon or spatula after the pine tar meets with the lye -- no stick blender! With no further ado....
To start, I mix the water and sugar (if using sugar) until the sugar is dissolved, then add the NaOH and stir until that is dissolved as well. Let the lye solution cool to about room temperature.
Mix the pine tar in a second container with the liquid oils at room temperature until all ingredients are well mixed.
Gently heat the solid fats in my soap pot until the fats are barely warm enough to melt. If there are a few pudding-y bits of fat left, hit them with a stick blender and mix them into the melted fats -- don't heat any more than necessary. The idea is to keep all the ingredients as close to room temp as possible, without waiting ages for things to cool down.
At this point, I double check that my mold is prepped and everything else is ready to make and pour this soap. This recipe can move very fast once the pine tar meets the lye, so it's important to be well prepared before the excitement starts.
When all is in perfect readiness, I add the sugar-lye-water solution to the container with the solid fats, and stick blend just enough to nicely emulsify the mixture. "Trace" is not required -- just emulsification is fine.
When I'm satisfied the batter is well mixed, I set my stick blender aside, grab a spatula, and hand stir the pine tar and liquid oils into the batter. Stir (hopefully) to a thin trace (a thin gravy consistency) and then pour the batter immediately into the mold.
It might take 5 minutes for the batter to politely thicken or it might take 15 seconds to morph into cold mashed potatoes ... I never know. Pine tar likes to keep me guessing.
Clean up as usual. Hot water and soap dissolve any pine tar residues quite nicely.