I'm not that convinced we need to worry about finding someone who'll be given a reasonable chance by the fans. I like to think LFC fans are pretty good at that anyway. Hodgson is an outlier because he was a massive twat. Rodgers was given plenty of support and he was hardly some giant of the game. You also don't want it to go the other way and hire someone it's difficult and painful to sack, like Ole or Kenny.
That's a fair point too. But we're in a very different position now than when Rodgers came in.
I wouldn't choose Xabi solely as a fan appeasement measure. I truly think he's one of the top 2-3 candidates. His rapport with the fans might help get him over the top but it's not my primary consideration.