I feel the same way sometimes. I always hear, "You rarely get 4 feeders." But literally, I've counted 2 games today where I actually did.
Game 1:
Jax: 0/6/3
Vladimir(Me): 4/5/3
Lucian:2/8/5
Gragas: 4/6/1
Soraka:1/4/6
Game 2:
Draven: 0/7/0
Jax: 4/6/2
Malphite 1/7/1
Teemo: 2/8/1
Vladimir(Me): 4/1/2
This is all in my match history, although I can't post names because of the rules policy. So go check it out if you don't believe me.
This, of course, is the worst case scenario but I really haven't seen much better. You either get feeders or an AFK/unskilled/troll
Do I feed also? Yes, I have, albeit rarely and usually not the first to start the snowball. But if I'm getting stuck with an entire feeding team, I don't see how carrying can get any less relevant.
P.S tired of hearing the 44% argument where trolls/feeders/afk are 44% less likely to be on your team. 7/10 out every game I've played so far had one of the above and not on the enemy team.