Yes the green tigers have come true so far - this means a few dozen plants over 3 years and maybe 10 second generation plants too - all significant traits seem to be maintained.
I've also given similar numbers of plants away to friends with no complaints - though they don't expect much more than stripes and a good flavour!
Go for it. Sowing seeds from stuff you've already tasted beats de-spinning seed catalogue blurbs any day - all the tomato seeds I've liked and done this way have come true to pretty much the same degree - Santa, Jester, Dolce etc.
So called F1 hybrids seem no different - I'm beginning to wonder how many really are F1 and how many are simply seeds they don't want us to keep.
So far the same strategy is also working for chilli peppers - in fact it's better than saving my own chilli seed because mine cross-fertilise madly whereas the commercial growers tend to grow acres of the same variety.
Actually I grow mainly mild and half-hot chillis so so I don't get any fatal shocks as long as I keep my very few hot chilli plants well separated from the rest!
Good Luck.