The use of HQ materials is dependent upon what you are attempting to do.

If you are attempting to create something HQ for your USE, then using HQ materials is a no brainer.
If you are attempting to create something for EXP, then using no HQ materials is a no brainer.

The more Quality you start out with, the less you can add during the crafting. And it is the Quality added during the craft that counts for your bonus exp. With zero HQ mats, you can get 300% bonus exp from filling the Quality bar. If that bar starts out half full thanks to HQ materials, however, that 300% is reduced. I do not recall how much it is reduced however.