Oh my! I seem to have stirred something here now
Taly, I've had a look at your abei pics, and that one looks a bit more like my two maybe-turgiduses, at least the size of his eye. Our two "abeis" can't be the same puffer.
And if my new puffer is a turgidus, the other two is not (ID-ed by you all here at TPF) - that's absolutely certain. They are too different to be the same, and I'm not talking about the color (which also is too different), but the shape of the head and snout, and the size of the eyes. The way the spots appear is also different, and the color is so strikingly different, so it can't be the surroundings or mood or whatever, that has affected their different colors. Looking at pics in the PufferPedia the body shape is most right for an abei (talking about my new puffer now). I see that that one has a broad range of different colors. But it seems like different people has different meanings of what's the characteristic of an abei compared to other targets, like the turgidus. Does anyone have a scientific writing of some kind about the differences of the target puffers? I think this might be the right way to find this out, once and for all. I know there's very little scientfic on these things, but does anyone have anything that can do? What do you base your knowledge of the different species on, except your own experience (not that I don't respect your experience

But when you don't agree, who shall I listen to?).
Maybe this is the leiurus Tiger wasn't? This one has a long snout, at least more than 2 1/2 the size of it's eyes (which someone mentioned at that time).