Well, the grass is not very green in Miami. The current Dolphins owner is a tightwad and has the corporate morale all screwed up. He won't open his checkbook to bring the players in or upgrade much of anything. Saban at one time indicated, and I paraphrase, that he already had a good college job that he left for the pros; If he wanted to stay in college he'd kept that job. Of course, situations change. But, the load of crap the AD and prez of Bama much lay into to actually make that job sound worthwhile. Bama is 3/4th in the West at best now. They've seen AU, LSU, and now Arky go right by, and they'll never catch up again.
Besides, if the LSU job came back open, they'd be all over Saban to come back. He left on very good terms and could probably request Les to be let go if he wanted to return to LSU. If he did to come to Bama it'd only be until he returned to LSU. Bama has no commitment to coaches. Coaches will have none to them.