Plan A, plan B, does Solskjaer have a plan and all the other malarkey. On the other hand, the laughs and the shrugging off, pretending that everything is working like clockwork. I have never considered myself an "Ole-inner" or whatever, but seriously, this place has become an echo chamber and both extremes are responsible for it (in general, not directed at you).
To answer your question, no, they don't. To make it even easier, neither did Ferguson. In fact, the biggest compliment you can give Fergie is to say that, during his heyday, he was winning game after game despite the fact that everyone and his dog could tell you how United were going to set up on a football pitch.
What these two did were adjustments to their fundamental philosophies, so that they could deal with the particularities of the PL and the demands of their era. While you can very well argue that Pep has been giving an unlimited credit card at City, he still had to come up with a new structure, the one with the FBs tucking inside and operating as agile/mobile midfielders, to maintain his high-line and push his more creative players further up in the attacking third. You can also argue that Klopp got lucky with Robertson and TAA, but his possession game has improved greatly over the years and his Liverpool side can create overloads everywhere in the attacking half. That's after he spent a couple of years watching his team's performances deteriorating in the second half of the season, simply because there was no fuel left in the tank. They spent the money, true enough, but they also found working solutions to their problems. And, frankly, isn't that why the best managers in the world are being paid the big salaries for?
The new sensation on the Caf is the defensive midfielder. As if signing Rice would change the fact that we have only one player, Luke Shaw, that can actually move the ball forward with purpose in the first phase of build-up. As if having a new Carrick would make up for the fact that we don't work hard, off the ball, to win second balls in order to stay high up the pitch and pin the opponent down.
Solskjaer has a system and he also has implemented several, what do they call them... "patterns of play". He's not a stickler for rigid structures, like Pep, and he's also not as gung-ho as Klopp in his approach. There's a flexibility in his way of thinking that can work in our favour (it has in some big games and it has also helped him when he was with his back to the wall), but can become detrimental too. We let Lukaku go (fine with that), spent two seasons utilizing either Martial or Rashford up front, as players who would start centrally and move to the left for others to attack the box, to revert to a system where everyone is trying to find Ronaldo in the box. We say we want to play with a high line, and we break the bank for Maguire. We want to use the wide channels to advance the ball, and we sign a FB that isn't good at that. Then we were crying out for a new CB, and now that we have him, we want Trippier too. What kind of defensive midfielder do we want? A Carrick-like player in a midfield of two means that we'll use the low-block more often than not. But isn't that the type of football that turned Mourinho into a managerial dinosaur? A better version of McT/Fred? This surely must lead to the "3" and the "1", in our 4231, working their socks off without the ball to regain possession and play high octane football in tight spaces, but it's clearly not what we've been seeing on the pitch.
I'll reserve my judgement for the end of the season, but it's not a good sign when, three years into his tenure, when we're bad, we look utterly hopeless on the pitch. He says he wants to play with pace and power and we still spend entire games moving the ball sideways at a snail's pace. That would suggest that is not the absence of a Plan B that's hurting us.