I agree, Linux does have a good rep in the enterprise world. My point was simply that, by the open-source, distributed nature of Linux/BSD development there isn't a true "first party" that has control over the whole thing. IBM, Oracle, Red Hat, Canonical, et al., certainly do well supporting Linux, but by definition they provide third-party support. (Unless they're providing support for code they've developed and contributed -- that would be first-party support.)
Agreed, by definition, you are right. However the whole "Linux is free therefore it can't be good" attitude that did exist circa 10 years ago is pretty much dead these days except for some hardcore MS customers who are blind to the real world.