Kyber is a fictional thing, so I understand that it's a Star Wars reference. But Dilithium is a real thing, so not sure why that would be a Star Trek reference? Couldn't it just be a reference to the real thing somehow?
Wikipedia says that Dilithium exists when Lithium is in the gas phase i.e. not crystalline. So, CRYSTALS-Dilithium presumably refers to Dilithium Crystals which are often referred to in Star Trek.
I would guess that since the other is a Star Wars reference Dilithium is meant to be Star Trek. It follows the pattern, and Dilithium is a famous reference for those who follow Star Trek.