I don't know that I subscribe to the premise of maybe anything outside an island green hole only being able to be played one way, even then on 17 at Sawgrass you could play wide left and try to pitch on from 40 metres or so.
Necessity is the mother of invention, and I think people who need to see alternate routes are often able to see them where those of us who can play the hole the "intended" way look past them.
My grandparents came to play with me once at my old club, Bonnie Doon in Sydney.
The 13th is a 150-metre par three from the forward tee, with a carry of probably 120 over a ridge that makes the green blind and atop the ridge is vegetation 20ft or so high with deep native from the tee to the ridge. My 80-year-old grandmother was no chance of hitting that shot.
To the right is the 9th fairway, but there were a heap of trees in the way. Then she looked left and the 14th fairway was a 60m or so carry across the native and about 60 feet below us. She took her driver and played out to the left into the 14th fairway, then bunted a seven iron up beside the green, chipped to five feet and made the putt for a four, nett birdie, and won the hole.
I wouldn't be surprised if she was the only person who has ever deliberately played the hople that way, but she had to find a way, and she did.