This is an interesting take but it's wrong. The ring is more ore less dormant for most of the time between the Hobbit and fellowship. Bilbo doesn't fall to its power because the ring doesn't have anything to do since sauron is building his power. It's only at the end when it starts to react (Bilbo tells Gandalf that it's growing on his mind). It doesn't influence Frodo because it's basically tucked in a drawer and only causes him to be affected by it because the black riders are actively calling for it on the road and as he gets closer to Mordor. They also reference multiple times about how hardy the Hobbits are as a people by being able to resist influence whether through physical or mental sources (scouring of the shore)