I could figure some cases where would find it natural to say that one proposition is more accurate then another, but not to say that it is more true. For example, saying that my home has 1000 ft.², as opposed to saying that has 978.25 ft.² Or saying that it is the morning, as opposed to saying that it is 8:30 AM.

"Truth" and "accuracy" are just words, and there is no inherent difference between them.

That said, if you wanted to assign useful meaning to the two, you could use truth as a noun to describe the condition of belief matching reality, and accuracy as an adjective to refer to the place of a condition on a scale of proximity between belief and reality.

Or, you could use them the other way around.

Or, you could use both words as nouns in one context, and adjectives in another. This is usually the case, with accuracy more likely to be used as an adjective as it implies lack of confidence to some degree.

Perhaps this: "accuracy" is a quantitative measue when "truth" is only qualitative/categorical.