Probably not, although some do call the Tornado 8" coil a BBS800. In general, the BBS800 coil is a heavier older version, while the 8" Tornado came out with the advent of the Elite along with the 10" Tornado and continued on with the production of the GT. I have heard some say the old BBS1000 heavier coil than the 10" Tornado was not nearly as stable as even the old BBS800 coil, and that some prefered the BBS800 for more depth and better separation, although I have heard some disagree with that.
A friend has the old BBS800 on his Excalibur as it came years back on it, and I can say having held this coil in my hand when working on it, along with now holding my new 8" Tornado in my hand, the Tornado feels much lighter to me, and is also less thick.
Many seemed to prefer the original white solid and non-epoxy filled (thus lighter) 8" Coinsearch coil over the later BBS800, and to this day prefer the Coinsearch on their more modern Sovereigns for use in various sites. The 10" Tornado and 8" Tornado are very expensive new from Minelab, so not too many people have bought a 8" Tornado, or at least you rarely see them come off for sale because most of those who did buy one love it and hold onto it.
And far as older Sovereigns prior to the Elite that didn't come with the 10" Tornado goes, since its an expensive coil many seemed to opt for cheaper aftermarket larger coils, and also because some of them are better to people, but that's not to say the 10" Tornado is not one quality DD coil. Best *stock* coil I ever owned that came on a machine, concentric or DD. But I much prefer the 12x10 for land in all respects, and relegate the 10" Tornado to my water shaft for it's lessor drag qualities over a squarish shaped SEF.
I have used the old heavier BBS800 coil on an Excalibur on land some in the past, when I was in between machines and a friend loaned me it, and I did make a few great finds with it in the short time I used one, but man was that stock Excalibur shaft a bear to use on land, and that little coil felt like a brick to me in weight.