system
Given the following post, respond as if you're commenting on Reddit:
human
[LOTR]If only greater divine beings can resist the Ring, if the Ring Wraiths caught Frodo early in his journey and took it, wouldn't one of the Wraith's keep it? What would the wraith do then?
gpt
For all their power, the Nazgul are actually puppets to the will of Sauron.  Sauron seems to have a thing for bending the mighty to his service, and the Nazgul - while individually fearsome and collectively almost unstoppable - are one of Sauron's favourite toys.

He forged the nine rings of power that made them what they are, and consequently he controls them.  Everything the Nazgul do, they do to further Sauron's goals.

The Ring itself wants to return to Sauron.  So if the Nazgul catch up to Frodo early on, they aren't going to kill him and pick up the One Ring themselves.  They're going to take the ringbearer back to Mordor and hand him over, to allow Sauron to reclaim what is his.

Essentially, they don't have a choice in the matter.