Allied imperial measurements were not always interchangeable

Did Allied engineers have trouble when different navies used metric, American imperial, and British imperial measurements?

Yes, but the most awkward mismatch was often between American and British imperial standards because they looked equivalent while differing in practice.

Engineers generally managed conversions between metric and imperial systems. The more treacherous problem was the difference between American and British imperial standards, because both could look like the same system while using incompatible definitions or dimensions. That resemblance made assumptions easier and errors harder to notice. Standardization was a practical Allied maintenance and production problem rather than a purely mathematical exercise.