Outside of skipping clip show episodes, no. Especially if it's for the sake of making time for an opening, of all things. There are times they can be cool but they're not important. The meat of the show is what matters. When you buy a movie "I sure am getting some great packaging for that price!" is not the first thing you say.
On the more ambitious level, I'd imagine it's also easier to pick up TV programs that are good enough to not need such editing in the first place.
I should note though that despite the arbitrary exclusion of entire episodes, this didn't stop me from enjoying Vision of Escaflowne way back.
I would suggest that it's not the medium, but the quality of perception and expression, that determines the significance of art. But what would a cartoonist know? -Bill Watterson