I've been running my own site for displaying images; for backup, I have a dedicated server + synthing.
It's the archives I'd really, really miss, from people who more or less stopped taking photos.
If Flickr was to offer what Smugmug and 500px does for pros ( like direct upload from Lightroom, eyecandy portfolios, etc. ) instead of focusing on an app that uploads every picture it finds by default, I believe they'd see a return of the many and probable could become profitable. But this would need immediate and massive changes, which I don't think will happen at all.