Question:  If a Sorcerer/Mystic Warrior were to create a sorcerer staff through the staff creation rituals, would they also be able to use that staff as the dedicated weapon for the purposes of the channeling abilities?

Answer: Yes, a Sorcerer’s staff can become a dedicated weapon

Question: Dedicated weapons and elemental effects: Is it intended to only be Ritual of Elemental Weapon and Greater Elemental Weapon that grant the discount or would a ritual with a similar effect, such as the sorcerer staff ritual that makes it swing an element count as well? Additionally for the restriction to the element for non elemental weapons from “elemental aspect, either through the Elemental Weapon, Greater Elemental Magic Weapon rituals or some other means,” would the “some other means” include oils of “element” blade as this portion does not mention needing to be permanent?

Answer: This is meant to work with anything that “Sorcerously enchants” a weapon to swing for an element, so the staff ritual (or any similar ritual that comes up in the future) would count. Alchemy will not affect the cost of channeled spells, and will not prevent the character from channeling a different element through it.