Ive figured out whats bothered me about the ebay pic. The runway extension lack of trees in area. Here is pre invasion photo D-2. Notice lack of trees at southern end. And again see how far pier stands out. I really think if you faced Green Beach in 1943 the Pier would stand out more.
Only other thing i can come up with is Makin or Abemama ? in Gilberts ( Kiribati ).
I say this only because i have seen Betio photos under the name Gilbert Islands. Heck ive seen Betio photos under Kwajalein