Dairy products are highly variant, depending on what the cows are fed. If it's organic, it's possible that it's also grass-fed or something along those lines.
You can always tell when the cows switch between grass and silage in the spring and fall. Milk tastes like garbage for a week or two until they get sorted out.
That sort of thing is a major concern for selling goat's milk. Bad things can also happen with hormonal changes when the billy and nanny goats are allowed together.