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you pay the full a'la carte price for everything you hadn't fully eaten

I've heard of a game in university: two players take their meals in the cafeteria, the one with the more expensive lunch wins, the other one pays for both. Rules: you must eat everything and you take only one portion of anything (this is not a caviar-eating contest).

This is the case with all you can eat sushi places in the US as well

They also serve a much higher ratio of rice to fish than a typical sushi restaurant

Interesting exercise, but why not just throw the uneaten food under the table, or covertly take it to the restroom and toss it in the toilet?

The purpose is to incentivize people to think twice about what they are ordering and how much they can eat, not to prevent people who are already intent on abusing the system. For that, you simply have to observe and ban people.

then why not make multiple small trips?