No one can ever answer that question. Everyone thinks that anyone with a pulse can win 10 games a year at LSU. Personally if Texas were to hire Les and the rest of the staff, bye bye LSU for at least a decade, maybe more.
With a bit of research it can be answered. Can we find someone with saban's / miles' resume pre-lsu? Yes. Would lsu admin do a good job? They look to have hired a good basketball coach (still a bit early but he seems to be doing good things). I think they could do a good job, and I still think LSU is an attractive job. Of course, 100% guarantee doesn't exist.
If you asked me when I had time to follow CFB closely I could have given you names. Don't know cos I don't have time to research it, but I feel confident we could find someone to take a chance on.