Overall Mike Tomlin as a good NFL coach who has built a solid program, by NFL standards, in Pittsburgh. (8-8 or so in down years, and 11-5 contenders in good ones) You don't do that consistently in the current NFL if you suck as a HC. So let's start from there.
He clearly is a good leader who gets his team to play hard for him and like all decent coaches holds his teams accountable as individuals. But like most guys who aren't BB, he has some consistent flaws. Most of them come during games. His game management (at least when he plays the Pats) is often suspect. He wasted TO's, had a bad challenge, and his decision to try a 54 yd FG on a 4th and 2 at the Pats 36, behind by 11 was simply a gift to us. Remember for some reason kicking 45 yd FG's in Pittsburgh is often not a great percentage play. You'd have to think 4th and 2 with the best RB in the game and a good OL, would have given you a better shot. In that sense he's a lot like Rex. He has a lot of good HC's qualities, but you know BB will have a big advantage most of the time.
In keeping with the "I'm another spoiled pats fan" theme. I think after watching the BEST HC in NFL history and the BEST QB in NFL history for 16+ years; it's probably unfair to judge other HC's and QB's by the same standards. The only error Tomlin made in his post game rant was not including himself and his staff. But that's just my opinion from afar.
Maybe after THIS particular loss, he felt he needed to put it all on his players in order to get them on to the next game in the right frame of mind. Maybe he wanted to make the point that "we gave you a winning game plan" even without Ben and the rest. You saw that yourself, being only behind by a point at 2/3rds through the 3rd quarter. YOU didn't fully execute it. No injury excuses. We didn't win because you didn't make the plays when they were there. Do what we say, and the next time you'll win" Or in other words, in BB speak, "do your job".
Sometimes there might be a calculated reason for a coach not to include themselves as the problem. Of course there IS an obvious risk that goes along with that strategy. Clearly he thinks that this is the way to go, and is the best tack to take for HIS team.
But we judge him under the banner of "what BB would do". Well what BB does is what HE thinks is best for HIS team and not what might be best for some other organization. Personally I LOVE BB's egoless approach, but that doesn't mean that on specific occasions the other way might work too.