How would a nonprofit service be any more insulted from shutting down some day? They made the data available. You could personally choose to re-host it using an endowment to fund it for a century. They're happy seeing it immediately and reliably accessible.
I generally trust the long-term stability/accessibility of libraries and archives more than I do something like Flickr. Even if it's not shut down, Flickr could well limit API access or do any number of other things.