I will stop as far as to say that the media relishes the role of a distractor in situations like the championship game with it's long layoff. The media does relish a good speculation story especially when it's only endgame is the finalization of every NFL coaching vacancy. It's especially interesting to them when the two title game opponents are so particularly boring when it comes to television (at least in ESPN's speciality of 24-hour news coverage). Notre Dame isn't going to shoot off their mouths with trash talk and neither will Alabama. Each coach is so effusive with their praise for the other team that the media can find out more about why Notre Dame is so good by simply speaking to Saban and vice versa. It is a boring matchup in terms of the 24-hr news cycle but Notre Dame's long absence on this kind of stage has at least given them plenty of material in that regard.
Their news on Alabama has basically amounted to: "well, practice has started at Alabama. They're doing the same things they've done the last 4 years for bowl games. The players are saying the same things and I swear Barrett Jones said that about LSU this time last year. Christ, am I in Groundhog Day?" Their only lead for the "Saban to NFL" story are rumors that were attached to a Lombardi fellow who is vying for the Cleveland GM position. I think Finebaum astutely pointed out that these rumors are probably sourced from Lombardi's people in hopes of helping his own chances: "I can get you Saban, hire me." Considering how dull the coverage will be for this game, they'll just run with the possibility of the Saban's potential last game in college football angle.
Like I said, I don't think the intention is to create a distraction. I do think they are just latching on to anything that can keep the news cycle going because neither team is likely to give them any kind of good material to run with until the game is over. Saban isn't going anywhere. I don't see this guy coaching over 6-8 more years and for some reason I doubt he's going to make his last stop something that was a miserable experience for him previously. If he couldn't stand Miami which has one of the best owners in the NFL for coaches, what makes people think he's going to leave Alabama for anything less than Belichick retiring this offseason and personally requesting Saban be his replacement? If Saban is going to leave, he's going to do it knowing he'll probably only have around 8 years left before the family wants him to retire. He isn't going to leave for anything less than "the setup." Why stake his enduring legacy to rebuilding a franchise with no history of having success and none of the built in advantages of college recruiting to level the competitive differences quickly?
See though, he's going to the Browns...where by year 3-4 of his tenure he will have to start thinking about finding a replacement at QB for a guy who isn't even a 5-year pro. Like heck...he wants to go to place with an established QB (so he doesn't have to worry about another Brees-Cullpepper deal blowing up his chances of succeeding) and a good deal of the roster already pretty well put together. How many places like that are open? Maybe the Chargers but they seem due for a roster clean out to clear up their cap space. There just aren't many places that I think he'd leave us for in the NFL. They do exist though. I don't see the Patriots opening up until Brady retires (Belichick will follow). The Cowboys have the roster pieces but I don't think Saban would mesh with Jerry Jones who likes to be involved in personnel decisions.