Could Reginald Henderson have stopped Churchill's pause?

If Reginald Henderson had still been alive, could he have persuaded Churchill not to pause construction?

Yes: Henderson had the experience, institutional knowledge, and political reach that the newer Admiralty leadership lacked.

Henderson had spent six years in post and knew the people and political relationships behind shipbuilding decisions. Churchill instead faced a relatively new First Sea Lord and Third Sea Lord when he imposed the pause. They lacked the accumulated experience needed to contest a policy he had fixed on. Henderson could also have mobilized support through the Committee of Imperial Defence.