If you wanted a bit of interface "smoothness" more complicated than roll-over image links, and you wanted to only have to do it once and be pretty sure it wouldn't crash your browser, Flash was the obvious choice. And let's remember that Flash was also a replacement for the true scourge of the internet from 15 years ago: Java applets.
I think that Adobe could've worked with browser developers and saved Flash, but they didn't care. Flash was dead a decade ago, when Adobe bought Macromedia. AIR was a poor man's Java, Flash's basic components were crap. Hell, I remember complaining about the video component and an ex-Adobe employee commented, "oh yeah, sorry about that, I think some interns wrote that over the summer".