They started with an incorrect theory (acidic fruit stops scurvy) which was later falsified (so does fresh meat). Their progress towards the truth is quite direct, a testament to good record-keeping and communication.
In contrast, the remedies lurch wildly around in effectiveness -- because they weren't properly tested, in isolation from other factors. Nor were they ever retested, even when they changed to the limes. That seems to be where the real failures occurred.