Yeah, I always wonder why they call it "Saturday Night Live," when it's on tape for half the country.
But seriously, it makes no sense to change the name at this point. All the good names are taken (Late Night, Late Show.) Besides, Kimmel is almost, sorta, kinda live. Or at least he's still fresh, with the ability to mock the latest news or what just happened in primetime. On the other hand, there's a 10-hour difference between when Conan is taped and when I get to see it.
As for the mockery, I wouldn't make a big deal of it. I think basically it's Kimmel's job to ridicule the network. Every year, NBC trots out Conan O'Brien to mock NBC. ("NBC: At Least We're Not ABC," he said last week.
At ABC, there's absolute positivity about the network's prospects. And each year they have to face the cynical advertisers. You need someone to bridge that gap. That's where Kimmel comes in. His mockery is an indirect way of saying that ABC isn't deluded -- they know they have problems.