Music is a completely different situation with its own laws.
A sound of rain falling has no mechanical rights as it was likely never published on anything.
Don’t mix the barrel of apples with the one of oranges, otherwise the discussion gets confusing.
In the US the law works by citing precedents.
All you do is find similar cases that had the result you were looking for, bring them in front of a judge and hopefully get the same result.
You don’t even actually have to be a lawyer in some cases.
If you give at least one precedent to the other party they will probably choose to settle our of court.