I appreciate the good these organizations do, but I don't think that's the right measure of it. A person wouldn't in expectation serve global health better by becoming Catholic than by joining EA. That Catholicism is large isn't the same as them being effective at solving malaria. EA is tiny relative to the Church but still manages to support within an order of magnitude the funding you mentioned here, with exact numbers depending on how you count.
Similarly, it's not like government funding is an overlooked part of EA. Working on government and government aid programs is something EA talks about, high leverage areas like policy especially. If there's a more standard government role that an individual can take that has better outcomes than what EAs do, that would be an important update and I'd be interested in hearing it. But the criticism that EA is just not large enough is hard to action on, and more of a work in progress than a moral failing.
Similarly, it's not like government funding is an overlooked part of EA. Working on government and government aid programs is something EA talks about, high leverage areas like policy especially. If there's a more standard government role that an individual can take that has better outcomes than what EAs do, that would be an important update and I'd be interested in hearing it. But the criticism that EA is just not large enough is hard to action on, and more of a work in progress than a moral failing.