The graphics mean a lot to me as well ,but I also like a good story line. I will admit the look does draw me in,and thats why I don't watch much adult swim. I know some cartoons are better on there than others, but you have to admit, some of the graphics are low quality, but I'm sure the story line is good on some of them
Actually, I generally find that there's a fair correlation between good animation and good writing in general.
Taking
Adult Swim as an example, just consider the two extremes of
The Venture Bros and
Squidbillies.
The Venture Bros is fantastic in every regard, and you can tell that the people behind it truly care about creating a quality satirical cartoon.
Squidbillies, on the other hand, is the worst, cheapest, laziest dreck that one could possibly churn out in every regard. The rest of
Cartoon Network's programming falls somewhere between those two extremes, but there generally does seem to be a correlation between having good/bad animation to match good/bad writing.
The only instance of having good writing behind bad animation that I can even think of (off the top of my head) would be
South Park, especially in its early years. However, even then one could argue that the crude animation helps create the superficial illusion that it is a fairly dumb rude-and-crude show in the vein of
Beavis and Butthead (and even that show did have its moments)--but it actually has fairly sharp, biting satire (especially in its later years) once you get past that crude surface level.