Hello again marinyork, we're doomed to cross paths today it seems.
I've had a quick Google and it seems that the hybrios do seem to be the Uniross answer to the Eneloops .. hold their charge longer so they can be charged up before packing them and still be sure there'll be enough juice left for them to be used out of the packet.
Given that they akin to the Eneloops, they no doubt are better than the higher capacity "old fashioned" ones; I've certainly heard that said of the Eneloops and your experience bears that out.
I've got no means to measure the size to any degree of accuracy but I have noticed that higher capacity rechargeables tend to be quite a snug fit in things. Presumably part of the way to get higher capacity is to just pack more "stuff" into the battery and you can get quite an increase in volume by making the radius a little bit bigger. I guess there's a bit of leeway in the sizing standards.
I must say, I'm no expert on rechargeables other than as a user of them that's done a bit of Google research. So please take what I'm saying with that in mind.