Logan would say the most out of pocket thing about him after knowing and remembering his past. He would also do it, just to mess with people; especially to people he doesn't like just to prove a point.
He talks about his time as a Canadian soldier and the war crimes he made.
" Logan, did you help create the G...?
It wasn't a war crime the first time. "
" Getting your skin burnt off by a nuclear bomb hurts more than a heartburn or a headache.
Logan WTF are you talking about?!"
" I once played piano with Frank Sinatra and was a back up guitarist for a band in the 80's.
You know how to play the piano? "
He also creates new rumors about himself just by saying something random and no one would be able to fact check him.
" I once fought Teddy Roosevelt in the woods."
"I wouldn't recommend eating people."
" I helped create moonshine."
" Making that drug was an accident. "
" I ate a horse during the Great Depression."
" I helped film that movie."
" I fixed machines for NASA once."
The kids would probably ask Logan the weirdest questions about history or himself, which would also add to the rumors.
He's over 100 years old, imagine the stories, the lives he lived through.
The Wild West was probably his favorite era.