If at all, this is a *parody* of that kind of cartoons and it appeals to a different (and probably smaller) audience. This is obvious in "Cartoon canines" episode: the two dogs learn how to be "funny", Ren and Stimpy way, in an army camp (Drill Sergeant: "No cutesy in my corp, only funny cartoons! You know, lots of butt jokes!").
If i recall correctly, at one time the dogs even morph into something very close to Ren and Stimpy! From the drawing style i suspect this is one of the first episodes to be conceived, even if it was aired later.
2 stupid dogs was made with a deceptively innocent animation style: smooth shapes, reassuring colors, attention to detail. The jazzy soundtrack is perfect, and the sound effects are purposefully unrelated to the action they try to describe.
The stories are not silly, but minimal (some episodes can be narrated in one sentence) with exaggerated particulars. They can be poetic, satyric, just plain silly and, parents beware, with some extremely sick or revolting details. Usually i can't stand revolting stuff that I usually perceive as a cheap way to make things interesting by tickling istinct, but here it's just the authors' fantasy running amok. I enjoy every single episode. Nobody dare to miss the one in black and white!
Little Dog is the best characterization of a little dog i have ever seen. Big Dog, my personal fave, seems just a lazy glutton, but when he decides to talk... listen to him as a foreign ambassador ("Drop all cares about politics, business, and the foreign situation. You will be astonished to find the world will manage to struggle on, somehow.") The big man and Red are awesome too! gee... better i stop writing this and watch a Two stupid dogs videotape for the hundredth time.