From my readings of US Navy of WW2 and personal experience in modern day tech companies, I think it's not just the bureaucracy that's at fault. Rather, the organization (actually any organization) by default favors those who manage their superiors well for more/faster promotions. So a lot of times, the best of the best doesn't necessarily rise to the top, but rather those who are good at self promoting.
1. IN WW2, US Navy admirals learned painful lessons to trust captains who manage subordinates well, not the superiors.
When US was suddenly pulled into WW2, the submarines of US navy in WW2 did not achieve much at beginning. For months, US navy submarines failed to sink enemy ships. One big factor was faulty torpedoes. US navy had recently finished developing a new type of torpedo with a magnetic detonator. It was supposed to be a very effective weapon. But due to budget restrictions before WW2 (in the Great Depression), not enough testing was done. If I recall correctly, after spending the precious budget to develop a new type of weapon, not one complete torpedo with live warhead was actually fired in a realistic manner. But I digress.
The real reason US submarines did not achieve much initially at beginning of WW2 in the Pacific theater was the captains on the submarines. A captain in a WW2 submarine disproportionately influences how well or badly the submarine's crew performed. The captain's aggressiveness, skill, carelessness, excessive cautiousness, and etc all directly determined what the crew in the submarine achieved. When the US submarines in Pacific theater finally began to sink Japanese ships at a satisfactory level, it was discovered not a single (or very few) US Navy captain who had reached the rank before the war was still in command of a US submarine. They had failed to achieve results, and were replaced with proven captains who knew how to actually manage the crew below him on the submarine, not manage the higher officers in officers' club.
Basically, before WW2, a US navy officer who was competent enough, projected image fit for a captain, AND managed his superiors well got the promotion. Well ok, previous statement is my own assumption. But the fact is when a shooting war began, it was discovered the officers who got command of a submarine prior to the beginning of WW2 couldn't find the enemy or shoot straight when it really mattered.
US navy finally began promoting officers who knew how to manage the crew below him well and had a killer instinct, not the ones with superior social skills. US navy brass learned that the enemy did not care how good a US Navy officer was at self marketing/promoting.
2. My own managers who moved onto bigger firms.
I've been in US tech scene (IT), about 15 years. Of the managers I had during that time, 2 managers (at separate firm/time) who were above me went on to work at globally well known tech/entertainment firms in tech VP roles. I mean really well known firms. Not Google or Facebook but older, established firms. Top of the heap. Because I worked in small companies with these managers, I got to observe them in close proximity.
What I remember the most of them 2 is how incessantly they visited/chatted/hung-out with the CEO. Sure a lot of it was work I'm sure, but I also know it was a lot of befriending, kissing up, using one's social skill. I as a staff member was given slices of their time, but nothing like the attention given to the CEO.
And sure enough, both firms were closed down. Of course a LOT of it was beyond their control. But it also shows they as managers couldn't find the right project to tackle or manage their subordinates effectively so the company could make $ to survive. Well, maybe or maybe not.
But I do know they spent a lot of time and energy befriending the higher-ups above them. And, I trust the hard lessons US Navy admirals in WW2 learned, that were paid for with lives. The lesson that you should avoid those who spend much energy at self promoting, as they don't actually deliver when it matters.