I think it depends on what you are trying to make.

For anything under the 1-star recipes (for carpenter I think these start with things like spruce lumber, and for weaver it's twinthread) you don't really need materia to craft successfully. Especially if you acquire the Luminary tool or the level 50 class quest tool, a Militia secondary tool and appropriate level 50 crafting gear, you should be pretty well set.

Once you start with the 1-star recipes you may need a little materia or a food buff since they have minimum requirements to even attempt the craft -- like 255 Control or ... I think it's 275 for Craftsmanship?

2-star recipes will definitely need materia melded onto HQ crafting AF gear in order to reach the 347 Craftsmanship or 318 Control minimum requirements.


Personally I think CP > Control > Craftsmanship.

With a bigger CP pool you can keep your synthesis going longer and use more skills on it to gain quality and restore durability.

With more Control you fail fewer actions. I -think- the success rate percentages you see are starting points and are then modified by your Control and your level relative to the recipe level.

With Craftsmanship you make more progress to finish off the synth after running out of durability. So if Craftsmanship materia doesn't allow you finish a synth with 1 or 2 fewer steps, then it's not very helpful.