I forgot about the Edo-God thing.
Wesley owes Picard for saving his life
once... but he more than paid Picard back by saving the Enterprise
22,363 times. Not counting that one time Chief Engineer MacDougal accidentally sat her morning coffee too close to the intermix chamber and nearly caused a warp core meltdown when it spilled everywhere (coffee related mishaps are a common mistake in engineering aboard 1701-D

).
One would think that it would take more than a misplaced coffee cup to blow up a ship like Enterprise.
Just look at what happened in "Q Who".
To be sure, Ensign Gomez made a complete tit of herself (fnar fnar!) by spilling coffee all over Cap'n Baldy, but imagine if she'd tripped and it went down the warp core instead?
It wasn't damage from the Klingon battle that did the ship in in "Generations". No, it was Geordi celebrating the win with a Mocha Latte, and accidentally causing a coolant leak with it. That stuff goes through stuff worse than acid.
Blame the Utopia Planetia engineers for installing a replicator right there in the engine room...