You’re correct, but the vast majority of the posts I’ve seen recommended against ever crafting TS. For example, this thread which was specifically about minor TS farming.
The souls you use for crafting is also going to add up quickly. That’s ~600 for the number of minor TS you need for a common up to ~1650 for an Epic.
The only advice I saw that I didn’t fully utilize was to farm Challenge instead of Explore for minors.