I think you're reading more into what I said than what I intended.
I'm not endorsing the specific behavior, but I am pointing out that if there's a "cheating" lever anyone can pull to improve their own situation, it will get pulled if people think it's justified.
There's plenty that do get pulled and plenty that don't. In the US, SNAP fraud is sufficiently close to nonexistant that you can't tell the difference in benefits provided. But fraud surrounding lying about medical conditions to get a medical marijuana card is universal and accepted.
The people we're talking about here are teenagers that are told "if you have an ADHD diagnosis you can ask for and get your own room". The sort of systems thinking you are describing is not generally done by your average fresh high school graduate. This is therefore a Stanford problem.
Some levers are accessible to everyone, but the implied social contract is that you only pull it if you actually need it, because the system doesn't have enough resources for everyone to do it.