I want to read stories about heroes standing up for what's right while being fully realized and fleshed out. It's hard for that to happen if characterizations are swapped out issue to issue or arc to arc. If there's no continuity why would any character stay the same writer to writer? Just saying continuity doesn't matter makes me think that you like each panel or page to feature a different character or line of dialogue that doesn't make any sense to the initial conflict of whatever story. Continuity is the unbroken and consistent existence or operation of something over a period of time. It isn't some end all be all prison for storytelling. You need a natural flow/progress for any form of story telling to work. Saying it isn't needed is basically saying the stories we read won't matter because it won't end up going anywhere or building off of what came before. A story arc about Batman learning to throw a batarang for the first time doesn't need to be brought up every time he pulls one out to throw it. A writer deciding to reference it through imagery/iconography or similar dialogue is nice and rewarding for readers who picked up that past story but isn't necessary. You see it homaged or referenced and it reminds you of the emotions, trials, and tribulations of that last adventure, it makes it mean something.