Sometimes USD falls and oil prices fall together. The measure of USD is only accurate when measured against oil price, and it helps to precisely say it so as to avoid questions such as "If USD falls against what?"
But I still don’t know what you mean by “USD falls.” It falls relative to what? All the other currencies? Are you relying on some index of “real price” of oil that’s denominated in something other than USD?
Or are you just saying “if oil gets more expensive”? If so, I don’t really see the relevance of mentioning USD exclusively. Either you’re separating the currency from the commodity or you’re not.
The term "USD falls and oil price rises" go together to say that USD falls against oil price. The term "USD falls" alone or "Oil price rises" alone would require a backdrop of measuring against something.
