It is everyone's job to ward, and I'd prefer a support pick one up late than never. Vision of objectives and opposing jungle is relevant until the game is over.
It's still amazing how inexpensive the ward trinket upgrade is yet people still don't get it ASAP in many cases (support with sightstone should probably dump it in favor of de-warding though). Still, 6-8 of these means vision of objectives/mid bushes and some of the opposing jungle, with extra ward purchase here or there. Yet when I'm support sometimes my wards are 3 of 4 placed or when I'm top I have 2/3 of the wards our team has placed even though I only have the tier 2 trinket <_<. Those games are thankfully not too common but really vision is important enough that every role has responsibility for it.
Granted, feeding is never great, but Annie picking up some early damage items is defensible even if going 0-5 and turret diving isn't lol.