I just went out and looked and while I wouldn't be surprised to learn that Lattarula and Kadota are closely related, the plants do in fact look different at least for me.
Kadota was a Monrovia plant and Lattarula came from Paradise Nursery.
The leaves on Kadota and Lattarula are similar, but different and Kadota's leaves feel thicker and rougher.
I suspect that just as Reverse and Panachee are essentially very similar (having originally come from the same plant), with one being a sport of another; that a number of varieties are essentially sports and sports of sports.
If figs produce sports on a regular basis then Jon could send me cuttings of Sal's, but from a branch forming an unrecognized sport and I could end up with a different but similar fig. Should I share cuttings with figman (of that same ??Sal's??) and he too get a sport (off of my plant) then his fig would also prove different and 2-3 sports down the line the differences could be significant enough to appear to be a totally different variety.
I'm sure that most varieties could be relatively stable, but maybe rampant sports and minute mutation in some varieties could account for shy fruiting Celeste's and some of the poor performing successful varieties in different locations (though climate certainly likely does have its effect as well)
I think I've rambled long enough..
~Chills