I shudder to think what they'll dream up next.
Factory reset took ages but worked fine, partitions went back just as they were, HP_Tools and all. Made a Backupper full disk image of that (it'll be quicker to restore from that than to do an actual reset), then I reloaded the image I'd made just before the reset, and that worked fine too.
So I guess we're done here. Even if it bizarrely turned out I can't go the other way (i.e. reload the Backupper "factory reset" image), I could always do another real factory reset. I guess the next step will be to repeat all the useful changes I made since I bought the computer, but that won't be much.
I suppose the moral is, partitioning without experience is much better done after a full disk backup that's known to be reliable on the kind of drives that Win7 commonly lives on. WIn7's own image utility likes to delete "unwanted" images without warning, and only processes what it deems to be important drives, but didn't lose anything important or irrevocable in this case. Ghost 11.5 ruined everything without warning, and AOMEI worked fine even though I'd not used it before.
As a spinoff, The Disk Genius on the same boot disk as AOMEI was able to read a flash drive that nothing else had been able to since it "died" during a session in a slightly loose socket, and all but one file copied fine to a new home.
Thanks for all the advice and files. I couldn't be more pleased with the result.
