I think it is also important to note that it doesn't matter what tier or type of materia you put in the items you are trying to spirit bond. You can put three GP +2 materia in a DoM HQ chest for instance and it will spirit bond 100% faster than an NQ chest with no materia.

Don't worry about that stats on the gear either. I am a BLM and and put on full militia gear, the relic quest 1hander and an oxblood shield when I go spiritbinding. One third of the accessories have strength or parry in them, but since it has the "all classes" tag on them, you can still wear and bind it.

I have yet to get a tier 4 materia from anything that wasn't ilevel 55 or greater. If the piece of gear is a DoM type, you will get DoM specific materia and DoW will get the same. There are materia like determination, crit, and accuracy that can be converted from any DoM or DoW piece.