Interesting thread. I used to play St. Davids in Wayne, PA a fair amount and the 7th hole was notorious for this. Knowing such, I (and many others) would often purposely bail on our approach shot to just in front. Got in my head plenty, but this was 1 hole of 18, and I honestly thought it added to the overall round.
Never to be outdone locally, the East Course at Merion boasts the more severe 12th green where a competitor didn't just putt it off the green, but putted it out of bounds. Interestingly, as I understand it, he was putting it UP a severe slope and wanted to make sure it got to the hole, which it briefly did, before then going through light rough and onto Ardmore Avenue.
The 12th, of course, now made less severe.