Saponification is the chemical reaction between oils and caustic to form soap.
You don't really need to reach "trace" where there is thickening, but you DO need to get a relatively stable emulsion and it's easiest to recognize this if you reach trace because the thickening is the indication that soap has been forming and this soap helps stabilize the emulsion.
I've never found that stick blending causes a "false" trace. False trace I get when I have fats that tend to solidify at room temp - and not many liquid oils to keep them fluid. For example, when I soap with a combination of JUST coconut oil and lard then the mix thickens up NOT due to the emulsification and saponification but just because the oils are cooling.
False trace is when you think the emulsion is stable, as evidenced by the thickening, but when it sits the oils and water separate. The easiest way to see this coming is to let your mix sit for a moment in the bowl before pouring into the mold and looking for that separation.