Battle of the Wills
Assume that Abin Sur, while on route to DC Earth, somehow gets sucked into a multiversal gateway that insteads takes him to Marvel 616 Earth. He crash lands in the desert, and tells his ring to find the most worthy being on the planet to become his successor, the chosen person leaving Marvel 616 Earth and taking his/her place as Green Lantern of Sector 2814 of DC Earth.
Who would be the most likely canidate to inherit Abin Sur's ring? Don't factor in distance to Sur; assume the power ring will get the most worthy choice regardless of their current location, so long as they are on Earth. How would Hal Jordan's replacement fare in the DC Universe? Would they have fared better than he or worse? And how would the Marvel universe deal with that character no longer being a part of their world?