Other teams may be able to add headcount, but my experience with big companies is that the organization wants to manage the number of tenured people, and people

Other teams may be able to add headcount, but my experience with big companies is that the organization wants to manage the number of tenured people, and people who are now sitting in non-terminal levels. Given how many people externally are competing for spots there is less of an incentive to prioritize internal people. I don't necessarily agree with this, but you have to be aware of all the stakeholders perspectives.