I think Berger is onto something, but not necessarily what he thinks he's onto.
At this point, the propensity of Ferrari to try to have a single plan that accounts for every factor possible (instead of a set of simpler plans that can be switched between as circumstances demand, according to straightforwardly-knowable criteria) is the main cause of overload here. And it's not just Binotto Ferrari should be worrying about, but everyone on the team, in all departments. This is because there is a general pattern of monolithic things going on - I've been left wondering if the front wing is trying too hard to adjust air, which is the aero equivalent of the phenomenon, and the part where four different attempts have been made to explain the same team order policy (some arguably incompatible with each other, let alone with the practise of said policy) in the space of three races is a clue too.
Overfitting is not a concept you hear much about in F1, but as various parts of it have increasingly vast lakes of information at their fingertips, the matter of how to use it to help racing ambitions becomes increasingly important. There is a great temptation to try to use all the data that seems relevant to race strategy in one case to make strategic assessments in all cases, for example. Unfortunately, much of the data collected will never be relevant to that specific purpose. Many other items are only relevant in specific categories of circumstances. If these things are ignored, then it will take longer to create the strategies, the strategies will be less effective and they will be especially prone to failure as soon as any minor thing changes.
This fits the Ferrari strategy to a T... ...and I suspect other parts of Ferrari that are less visible are facing the same problem. It's understandable - Mercedes has sometimes had this problem, albeit on a more transitory pattern.
So, rather than necessarily delegate the tasks Binotto doesn't need to do, I'd first see how much processing is the electronic equivalent of wheelspin, remove that, and see how much time and energy that frees up for everyone on the team.