People are missing the big picture with the manager situation.
Tata might not be the manager of the future for Barcelona, but this team won as much as it was going to win regardless of the manager. I doubt any other manager out there, even Guardiola, would have been able to win more with this team as it presently stands. They might have played differently, but I doubt they would have won more. It simply is no longer a great team. It is still a good competitive team, but it is no longer the great team it was 3 years ago.
The team simply needs better players. Getting a new manager and not solving the player problem is far worse than keeping the manager and just getting him new players. Therefore the imperative need is getting new talent, not going crazy looking for a new manager.
Doesn't mean an upgrade at manager is out of the question, but it must be a clear upgrade supported by a clear vision and plan. Does the team have that? I don't see it.
I won't argue with any of this, in fact I agree with it. Most people including myself, probably took it for granted that Martino will leave more or less by his own volition based on what he said recently about how he assesses his own efforts.
Sadly, the way you outlined isn't the way businessman make decisions. For them, it will be a question of whether the coach is maintainable primarily before the members, secondarily before the supporters so the decision doesn't reflect badly on the top floor. The only thing that is a merit to them is silverware, so unless Tata wins the league which is already improbable enough, he has nada y niente to present in his favour to El Barto and the gang; especially when the administration is hellbent on claiming that the squad is complete, when the intention is clealy to shift the guilt. Players win, coaches lose - it has always been that way.
The line between what is perceived as success or failure is thin: Currently, the team is 4 games and six points away from equalling the point total of the 08/09 season, this year this will most likely not be enough. And when you think about the past, it becomes apparent that we beat Chelsea in 2009 with a lucky punch. When it comes down to it, it's more or less random stuff like this which separates a treble season from one where you end up with nothing. Point being: This board and Pep in 08/09 and assumed he wouldn't win anything or only the Copa - they'd sack him.
Still, the decision will be based on it. They'll look out for a coach who vaguely fulfills the required profile, doesn't stir too much of a ruckus and who can be justified on his past merits. Then they'll throw a few new players in the mix (unless we're banned) and hope that something positive comes out of it.