>>24552278> the book they don't "sense" Frodo when he uses the ring.It says the rings draw them explicitly. It also says the ring draws all evil.
>>24551807 (OP)Bilbo doesn’t wear it long enough. He also doesn’t “claim” the ring officially and just has it around for a long time instead of actively wearing it. Even then he has trouble letting it go. The closer to Mordor they get the better Sauron can sense it directly until he basically sees Frodo through the Eye.
So it’s location sensitive, it matters how much you use it and how long. How physically near it you are. The ring also has a mind of its own trying to get back home but seems go be in no rush.
I think a better question might be how Gollum was able to have it and use it so much for so long and still resist its call to bring it home. It’s implied the ring helps itself slip out of his grasp into Bilbo’s possession. Apparently this is better than having some goblin find it? Frankly it’s never explained well. The ring’s predictive powers aren’t great and it’s all vague enough to lead to some useful story contrivances. But then Tolkien wasn’t trying to set up some bulletproof logic he’s using the Sagas as a model and contrivance isn’t a dirty word. Poetic irony like being destroyed by a weapon you forged is a lot more powerful than inventing a logic by which that would be the most appropriate thing to happen.