Liverpool fans didn't actually want Rodgers in the beginning, because he is a lifelong Manchester United fan. He look over their club in similar circumstances, from a former club legend who was floundering. He took a very average Liverpool side to within a slip of winning the PL.
He is not regarded as a legend by Liverpool fans, they sacked him when Klopp became available.
I think Rodgers would love to have another crack with a CL club and bring Liverpool down a peg or two.
For me he is a no brainer. He knows this league, he knows how to set up a team, he improves players, he makes quality signings, he promotes youth and most of all he plays attractive attacking football. With our squad and resources we are 50% there already, we just need someone to tie it all together.
If he wants it, and lets face it, not many of the other favourites are willing to leave their current clubs, then we should get him in ASAP. He is a massive upgrade on Ole and his 'learning on the job' coaches.