Agreed.
I think the clip below illustrates exactly what is required out of possession. And both Hannibal and Garnacho are busting a gut to get back and thwart the potential counter. And you're correct it's a key requirement to have the tactical side of the game ingrained in one's mind out of possession. And it's not just about running around without direction but rather rather it's about running around with a clear directive on what one must to do out of possession. Hence why it's important to have the intelligence, athleticism and tenacity to thwart opposition transitions.
I think EtH has quite a few he options he can go with. But imo, I would have Mount and Hannibal as the central attacking midfielders with Bruno inverting into central areas from the right with the fullback providing width or even the underlapping runs.
Erik ten Hag can potentially go with the below lineup in some games. It's a 433 on paper but once the team progresses the play it turns into a 3241 shape in a higher defensive line. But it's important the central attacking midfielders have the running power to thwart opposition transitions.
-----------------------Hojlund-------------------
--Rashford------Mount------Bruno---Dalot--
-----------Casemiro-------Amrabat-------------
------Shaw------Martinez------Varane---------
----------------------Onana---------------
It's quite the sudden burst of energy, tenacity and aggression with Hannibal, Amrabat, Mount and Højlund entering the fray in such short order. It brings us up to standard with what's demanded of a PL midfield (and triangulation with the centre forward) and should earn us the right to play our game instead of chasing after others' playing theirs.
Suddenly, we can't be played straight through and there is pressure from angles, unsighted, even, which lends itself to errors and hurried play that should see turnovers increase (as you've said above).
What I like about what Mejbri (and now Amrabat and Mount) provides is a setting of the standards demanded by the manager. He's said to have had a "perfect" game by the manager despite some of his errors on the ball because he's knitting the midfield and forcing/setting the pace. It's sad it takes a youngster to do this, but it's definitely making a difference to the collective and breathing life into the unit.
-----------------------Hojlund-------------------
--Rashford------Mount------Bruno---Dalot--
-----------Casemiro-------Amrabat-------------
------Shaw------Martinez------Varane---------
----------------------Onana---------------
The good thing with what you've listed is that we now have some interchangeability to the components whilst being able to maintain the intensity, and to a better extent, the quality. That RW issue may turn out to be it's own benefit in that we get a pressing #10 in there whether it's Mount or Bruno. The pitch might be narrowed for us, but it should also make us a team you go around, rather than through, which also leaves the opposition with the question of what they do with our overload (stick or twist).