There’s also the element of “knowing” where the horizon is so you can hold the cup horizontal thus minimizing the chance of spilling it’s contents. It’s easy to see the extremes of this learning. Give a bowl of water (filled to within an inch of the top) to a 5 year old and ask him/her to walk across the room with it. She/he will look at the bowl of water while walking in an attempt to keep it level. An adult will “look ahead” to avoid tripping over carpet wrinkles, bumping into furniture, etc. That’s because an adult has learned through experience to intuit horizontal. The kids will learn soon enough.
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