Yes it does; heritable means there's a genetic material foundation.
"which is what I talking about earlier when I mentioned linkages and associations."
There's a single variable here and it's sexual orientaiton, early childhood in particular. Linkages and associations are not involved here. They're treated as covariant environmental factors elsewhere. It's obviously a complex phenotype that appears as a range, not an either or. It's also quite recessive. The Bailey paper mentions the occurance of gay tends to run in families also.
heritable means capable of being inherited
I believe that's a standard definition. You've also said:
heritable means there's a genetic material foundation
That makes sense, but because something is heritable does not mean it is inherited. Rather, it's capable of being inherited. So homosexuality can be heritable without being inherited.