Not uneducated. But unprofessional... sometimes. I have a really hard time imagining a doctor or accountant named Skye. Or even a teacher. Let's see....
Willow: It's fine, it's pretty common and acceptable.
Meadow: Ok, this one- I'd have a hard time taking seriously anyone named Meadow unless they were an artist or owner of a hippie shop.
Robin: Works anywhere
Raven: Doesn't sound very professional. Sounds like a pseudonym or stripper name.
Skye: Only suits a child, imo.
Primrose: Teacher, accountant, etc, sure. Neurobiologist, no.
Autumn: Same category as Willow and Robin.
I don't know if it's a common opinion, but it's one definitely held by my father (he's even harsher with his assertion of it) and sometimes by my mother. Eg, she considered the name Indigo for me, but thought it would only work if I was an artist or something, and definitely not if I ended up a diplomat or the like.
I think women are much more likely to seem professional with nature names, though. A man would be more harshly judged for it.
I think the parents of the child might be romantic idealists, hippies, very young, living in a progressive community, from a family that has used such names in the past, or somehow involved with nature/the environment. Conservationists, hobbyist gardeners...
I'd have similar expectations of the child, but wouldn't be surprised if they turned out to be different. Except I can imagine a horrible mismatch of the name Skye on a harsh and conservative old woman.