Sorry to say, your thinking appears to be rather muddled here (good job you asked, to view this as a positive).
Xylene doesn't give any product by freeze precipitation. [And DMT-N-oxide is very unlikely to be present for that matter.] FASA allows you to crash crystals out of the xylene without having to evaporate a solution like you would do if collecting acetates using vinegar, for example. And evaporating all your xylene would take ages as well as stinking badly.
FASA will precipitate almost exclusively just the DMT, whereas a vinegar wash will collect all of the alkaloids. So, you could follow up the FASA with a vinegar wash if you're interested in seeing what the FASA leaves behind. Bear in mind that it can take a while for the fumarate to precipitate fully.
Freeze precipitation works for things like naphtha and heptane. FASA only works with naphtha if you spike the naphtha with some anhydrous acetone first, otherwise the fumaric acid tends to precipitate.
“There is a way of manipulating matter and energy so as to produce what modern scientists call 'a field of force'. The field acts on the observer and puts him in a privileged position vis-à-vis the universe. From this position he has access to the realities which are ordinarily hidden from us by time and space, matter and energy. This is what we call the Great Work."
― Jacques Bergier, quoting Fulcanelli