The gist of what you are saying is correct. Taproots are grown from seeds, not cuttings. Cuttings will not develop a true taproot. The texture (for lack of a better word) of the roots will depend on the type of plant. In other words, only cuttings from plants that normally grow fibrous roots will have fibrous roots. Cuttings from plants with more fleshy root systems will grow fleshy roots but won't have a taproot.

What Brandon has said is true.
Trees like Pine planted from seed will have a tap root.
But the way they are grown in beds or growtubes they air prune the tap root.
When the tap root grows out the bottom of the bed or growtube the air will burn the root off thus making the plant grow lateral roots.

So, if you used a cutting and after basic rooting you placed it in the ground, would it develope a tap root?

I'm currently trying rock soap wort.

no roots yet but cuttings aren't wilting after 2 weeks.
good sign in my book.
some garden books say it's easy,
some say can only be propagated from seed.
hope they root.
I love those babies.
sooo much prettier than ground phlox.
IMHO

I fear even if they root. will they survive the winter?!!!