Ok, I worked out why I couldn't get the images I uploaded to my website, and links to which I put in my stash today, to show up.
Image handling in the stash in general throughout the site seems to be nicely stashersmashed. SNAFU'd. Deceased. Have to open images in a new window consistently when they work at all (when they're dead images or just Photobucket-style capped, of course they don't work.)
But unless my site's administrator has put a stop on all direct/hotlinking (and I thought that links were being used throughout the stash, not direct image linking, precisely to prevent this; it's sensible to stop at one point or another in the process anyway), the trouble is probably sitewide and relatively temporary...