Lore (Alchemy) is INTx2 and is used for turning gold into lead or vice versa.
Lore (Theology) is INTX2 and is used for knowledge about gods, religions, religious ceremonies things like that.
Lore (Odin) is INT+POW and is used to ask for divine spells.
Lore (Odin) would also be knowledge about all things Odin. Lore theology would be a general knowledge about theologies and would be weird in a setting where each theology is their own lore as well.
That would be like classifying Lore (Mathematics) and Lore (Geometry) as different lores. But if you know your mathematics, you should be pretty well versed in geometry.