I disagree that it's nonsensical for it to work this way since that unemployment benefit is being granted after your parents are claiming that they are supporting you - so essentially they're getting a big tax deduction on their income for your costs but then the unemployment benefit is being claimed to make sure for a lack of them covering costs - in a simple world one might make the other ineligible but that could result in some folks being put through unreasonable financial hardships due to poor planned or ill-intended returns from their parents so this allows that benefit to be given while also recognizing that something going on here is double dipping.

If you are financially independent then you should make sure your parents aren't claiming you as a dependent, if you aren't then you should be receiving those covering funds from your parents since that's the sort of dependency the dependent class is all about.