These are two bad examples, though. Moiraine is good at the "heal all" weave. It doesn't even work on the same principles as real five power healing, which isn't a weave, but using the OP in different ways depending on the ailment. The old style Healing Moiraine's good at has not much at all to do with medicine, unlike what Nynaeve does. She puzzle out the exact problem with delving and intuitively fix it using the five flows in incredibly complex combinations.

As for the Asha'man, they don't "make weapons" per se, they do something to the metal/alliage as a skilled smith is forging it into a weapon.