What technique to be used largely depends on the quantity desired to extract. And also on the choice of the chemist/researcher.
If you have high end fancy equipment and just doing analysis, you might use a SPE matrix right into an HPLC, for microquantities.
Though, in general cases, the extraction performed and the efficiency of it is entirely dependent knowledge and choices made for a researcher, for example.
A standard method to isolate natural products might be to do a crude methanol extract, either by soxhlet or a simple soak and decant, followed by flash chromatography to isolate the compound. This method is very general and would work for a wide range of natural products, beyond amines like DMT. However, its difficult to scale up and is a tedious process and often results in a low yield of material that needs to be further purified. If there was no other information on the compound you wanted, you'd probably try this first.
The chemist/researcher probably understands DMT is an amine, but it isn't common to be able to easily extract even simple amine natural products from simple acid/base extraction, often it results in a gummy mess or terrible emulsion, which requires further purification and time spent. Or he may just try a simple acid-base extraction but waste time and effort with unnecessary defatting or extraction steps.
So the moral of the story is, do your research. If the chemist knows that DMT is cleanly extracted from an a/b extraction or from basic root bark soup in high yield and purity, then that is exactly what he will do. He might use a separatory funnel or a different solvent or use a sonicator to speed up the acidic extraction, but the rest remains the same as what is done here on the nexus.
There is a saying, 2 weeks in the lab is the same as one day in the library. Meaning, if you do your research you avoid walking into dead ends or reinventing the wheel.
The professional researcher would be delighted to find a source like the nexus, which is basically the hub of rootbark extraction research, there he would find answers and shortcuts he otherwise wouldn't have known, especially things the fumarate salts, otherwise would go through a lot of trouble to find what works well.
Expect nothing, Receive everything.
"Experiment and extrapolation is the only means the organic chemists (humans) currrently have - in contrast to "God" (and possibly R. B. Woodward). "
He alone sees truly who sees the Absolute the same in every creature...seeing the same Absolute everywhere, he does not harm himself or others. - The Bhagavad Gita
"The most beautiful thing we can experience, is the mysterious. The source of all true art and science."