Weeell, SNW is only on season 2 and we've already had an animated crossover, a musical episode, two characters doing Star Trek mythbusters, a double date sitcom setup with Spock and a renfair episode.
SNW isn't a self-parody, but it's certainly aiming for TOS' blend of camp and speculative sci-fi more than the "serious tone" of 90s Trek, if that's how we want to describe it.