When you walk through the doors at Melwood there are famous quotes from Shankly alonside pictures of people like Kenny lifting the EPL and others. When the players walk through the doors everyday to go to training do you think that the have never noticed it, or all the songs with his name in. I read Torres' book and he mentions how much he admires Kenny and how a night when he had dinner with Kenny and other LFC legends was one of the most memorable moments in his footballing career.
I don't think you join a club and don't pay any attention to the history. And if you do pay any attention one name will crop up a whole lot. And the fact that the players would know him but not appreciate his influence is ridiculous. If your highly inspirational captain and vice-captain along with all your fan-base are excited by Kenny as manager then why wouldn't the rest of the dressing room. A feel good vibe spreads fast.
I would prefer a situation where Kenny is given the job until the end of the season. If he does well then offer it to him long-term that's if he wants it long-term. If not or if NESV want a younger manager as they say they do then bring in someone new preferably Villas-Boas of Rangnick.