Would stopping Goeben keep Battenberg at the Admiralty?

Would stopping Goeben allow Prince Louis of Battenberg to remain First Sea Lord?

Possibly, but not automatically. Fisher's campaign against him and the outcome at Coronel could still force Battenberg out.

Battenberg's survival remains a second-order consequence rather than a certainty. Fisher's press campaign and wartime suspicion of Battenberg's German background would still exist, while a defeat at Coronel could still make his position untenable. Conversely, early proof that British shells were defective might shift some blame toward earlier Admiralty leadership, including Fisher. The answer therefore depends on how the altered Coronel campaign unfolds.