Reductio ad Hitlerum names a FALLACY — X is bad because Nazis liked it. Godwin's law names a FREQUENCY. Conflating them is exactly the misreading Godwin spends his time correcting.
Side by side
Aspect
Godwin's law
Reductio ad Hitlerum
Is a
Prediction
Fallacy
Says an argument is wrong
No
Yes
Ends the discussion
No
Should
Author's view
Misused constantly
Genuine error
What each one means
Godwin's Law
As an online discussion grows longer, the probability of a comparison to Nazis or Hitler approaches one. The name is also widely used for a later rule — that whoever makes the comparison first has lost the argument — which Godwin himself rejects.