Many of the strains commercially available just aren't F1, F2, F3 etc but B1-4 for example.
Funny, as your definition of F1 is the actually the by stoners accepted version and the reason why "true" is sometimes necessary to indicate what it really is, a cross of two
stable lines, stable as in homozygous.
Even wiki is enough for this, ""
while in plant and animal genetics the parents usually are two inbred lines."
http://en.wikipedia.org/wiki/F1_hybrid
"Usually inbred lines" because that's the common way to create homozygous lines. Crossing those homozygous strains is what creating an F1 hybrid is all about. Crossing two unstable lines (which is more like crossing hybrids, or crossing crosses...) creates more variation and is a step that belongs before creating the Ps that create the F1.
Edit: fucked up that last line, but fuck it... you get the point.