They do care at the time the laws are created, else what would motivate the laws to be created? It is true that laws can often languish on the books long after sentiment has moved on.
Representative democracy simply introduces a messenger, allowing democracy to happen locally even where the people are spread over large areas. The people at the local level carry out democracy locally and the product of that is compiled with the products from other locales by the messengers. The action of the messenger is recorded to ensure that the will didn't change in transit. It doesn't introduce a dictator to invent laws for you like you seem to suggest. It is still by the action of the people.
I mean, it can introduce a dictator if the people forget to participate in democracy. Someone will rise up and take charge if everyone else completely ignores what is going on. That might be what you are imagining. But you don't really have a democracy (representative or direct) if the people are not active participants. A democracy in name only isn't actually a democracy.
While an assumption of a democracy was made for the sake of discussion, it was recognized that the world is bigger than democracy.
(I understand why you as an individual might desire them, but the world doesn't revolve around an individual)