You've really seen a web software product die because of performance issues?
The $32M Hertz scandal
The $480M bug that killed a trading company in 12 secs
Challenger
Probably a bunch of stories from healthcare
Web software I don't know but there are many "modern software" that were meant to replace COBOL code running on AS400 that ended up never making it to production because they were running so badly and projects ended up being money pits.
Friendster
Yes, it is hardly ever the web-side of it though.
Healthcare.gov was a national scandal due to poor performance related to bad requirements gathering.