DON'T skip through the scenes if you care about the story overall. Some are tedious but others are important and it's all leading up to another story event before you reach Heavensward.
Essentially it is a whole separate chapter of the game.
I don't really get the specific hate towards it, because the rest of the MSQ gives you plenty of pointless fetch quests as well. (Remember the lead-up to Titan? That was awful.)
(Also, don't get tempted into watching the "Heavensward demo" video from the main menu, because that has some 'recap' scenes that will spoil what's about to happen for you!)