Of course the electrolyte could have been contaminated with any number of things, so it wouldn't be right to expect a clear answer.
That jar is back on the shelf. It's been there for about a week since I shook it, and the crystals are coming back, but they are not long and spiky yet.
There's another jar sitting next to it which contains the 'electrolyte' from a battery I had tried alum in. That battery was quite weak, so I removed the acid and replaced it with an alum mix. I changed it again for a new does of diluted alum, so that jar contains some acid, sulfates, and alum. - The crystals forming rapidly up the sides of the jar are not such the mystery that the H2SO4 crystals are.
Well maybe it's no big deal.
