I see it as a pointed observation that the people who focus on a goal will accomplish that goal. There are organizations with administrative-focused people who work in alignment with the mission-focused people, and that also follows this law as well. It's just that the same dynamic can cause organisations to spiral into an extractive, stale, ossifying, change-resistent focus instead.
The premise of the rule is that the second one is the end state.
The essential problem is that if one person spends their time e.g. fixing bugs in the code and another person spends their time weaseling their way onto the budget committee because they want to divert resources to their cronies, it's the second person who ends up on the budget committee. Then the first person gets laid off so their salary can be redirected to the cronies.
There are various ways to try to inhibit this with varying levels of effectiveness, essentially checks and balances. But the kleptocrats will be constantly trying to circumvent, weaken and vilify the things designed to constrain them. It's the sort of thing in the same nature as "the price of freedom is eternal vigilance".