Yes, that seems like the same story, though I had never heard the terms Lamed-vav Tsadikim or Yiddish Lamedvavniks.
Must be the story is told several differnt ways.
I do like to think that Linda Gibbons, and a few others I have heard of, are among these Secret Tzaddiks.
I only have because I had 10 years of Hebrew, mostly at a small Jewish college -- took a lot of Midrash-based courses and linguistics. I told them I was too old for distribution requirements! ;-)
Anyway, I picked up a lot of incidental information, too!