More importantly than whether it's a slog or not, I think it's important not to put too much plot in the tutorial. If we go through some of the games,
BG1: Candlekeep is set before the conflict really starts. There's a feeling that things will change soon, but there's no real plot here while being tutorial'd. Since you can also go to Gorion right away, the tutorial is essentially skippable.
DAO: The origins are set before the conflict really starts, you get used to the world and the game system at the same time. The conflicts you face are very personal and easy to take in while learning - the origins all have their endings after you've already played through their tutorial sections.
DA2: Thrown right into the action, you really should care about the plot at this point. Your family's home has just been lost to evil creatures, your family and new acquaintances are dying in droves... and all the while you're learning how to play the game. The exaggerated section before this is probably intended to function as more of a tutorial than this, but it frankly doesn't since all it teaches you is bad habits gameplay-wise (not to mention giving you an odd idea of what kind of game you're truly playing).
ME3: After being set up over the course of two games, the Reapers finally attack Earth. This is also the time you see Earth for the first time. Two huge moments in their own rights, and they're held back by not only having the player learning how to play the game instead of focusing on what they're seeing - your war hero character who you have potentially spent some 70 hours adventuring with seems to need Anderson to learn how to fight. It's very jarring.
While I find NWN2 (not a BW game, I know

) lacking in many ways, they ace the tutorial bits I think. You learn the game and your character's origin in peaceful times. You can focus on familiarising yourself with the immediate game world and the mechanics. Then at the very end of the tutorial, something terrible happens that sets you off on your journey. Can it get better? Yup, the tutorial is completely skippable.