Good point. The ring’s yearning does not seem to explain why Sauron is obsessed with the ring — he presumably would be obsessed even if the ring itself had no will of its own. One possible explanation: Tolkien loves to use language that imparts an archaic tone, and starting a sentence with “For” imparts such a tone. But if I had to defend the use of “For” here in the sense of “because”, the best explanation I can think of concerns the sentence that follows (regarding the Ring and the Dark Lord being one): If part of YOU were calling out to you, yearning to rejoin you, wouldn’t your thoughts be focused on that missing part? So, your thoughts focus on the thing BECAUSE the thing is calling out to you.