I agree, it looks like a big corp bought a small dairy farm and stuck their logo on and vectorized the existing label.
Following the AIDA model, attention grabbing is of first importance in consumer buying behavior, and this one blends into generic blue/white/pastel pink packagings. There are so many original ideas you can do to draw attention with packaging. It can be complex such as the latest Nutella generative design campaign or very simple, if you look at how Coca Cola has dominated the shelves for many years. They know how to grab attention and create a desire.
I am thinking, a cork look for the top and different colorful variations of French plaid (we will call the design Yo!Plaid) for the label with very bold lettering.