I would say yes, and yes. You understand, I trust, that it doesn't mean "the self-same suddenness" (like "the self-same-song" of Lord Byron), but rather an equal, or corresponding suddenness - equal in degree. She didn't hanker for it and toss it off sumultaneously.
I don't think "suddenness" here refers to quickness, or shortness of time, so much as it does to abruptness, or turnabout - unexpectedness. (Perhaps that's too fine a line.) Whoever thought it was fortunate would probably favor "shortness of time."