Wards: Miner gets Water/Fire/Lightning while Botanist gets Earth/Ice/Wind. Wards increase the yield of shards of a specific element catalyst by 2. An Armorer/Blacksmith/Goldsmith would mainly pick miner while a Carpenter/Alchemist/Weaver would mainly pick up a botanist.
If we look below here:

Alchemy: Water Lightning
Carpenter: Ice Wind
Weaver: Light Wind

Botanist: Ice Wind Earth

Armor: Ice Earth
Goldsmith: Wind Fire
Blacksmith: Fire Earth

Miner: Fire Water Lightning

Right now Armorer that levels miner and alchemist that levels botanist get punished for not being able to get their own catalysts through the gathering profession
I suggest switching up either Ice with Water or Lightning with earth, or both, so that this way all professions can at least get half of their catalysts consistently by themselves.

Please add in with your opinions suggestions and any other things you may have to add to the list, Thanks!