It's doubtful Morissette's version was even ironically not ironic, but just a series of coincidences and unlucky events.
With lyrics like "He won the lottery, and died the next day (from a severe paper cut from his lottery ticket)" and "It's a black fly in your chardonnay that was specifically purchased to repel black flies." the Hurwitz sisters have revised all of the scenarios from "Ironic," saying "we fixed it for you, Alanis."
Yosemite climber falls 30 feet, suffers major injuries
Moore to attend retreat in to avoid Kutcher's wedding