No doubt it's debatable.
Here's a decent article that breaks down the cases for each team in '08.
Hm... not sure how I feel about it. Seems like he did some research, but unless he was alive in 1908, I doubt he actually saw any of those teams play. At the end of the day, he's just a blogger. He has a valid opinion, but it's no more valuable than yours or mine.
If the National Championship Foundation saw fit to award the 1908 National Title to LSU, I see no reason the football program shouldn't acknowledge it.
Plus acknowledging it is a way of validating LSU throughout the course of CFB history. It shows that LSU has always been good, unlike some flash in the pan program like Florida who's only been relevant since the 90's.