What I like in DQ is that I'm able to choose my team-mates and be reasonably certain before entering the match that: 1/ they won't rage/flame; 2/ they are roughly my level. And yes, the order is important, my main criteria is attitude above skill.
I do not play with a regular team of 5, or even with a regular 2- or 3- man squad. I just have a list of people I met in previous ranked games that fit my criteria, I added them in my contact list, and now I play with them. Sometimes no one is available and I go alone, and I'm perfectly OK with that. Sometimes, 2 or 3 are available, and we go as a big squad. And they are not even friends, more acquaintances. So I voted "Both" in your poll, because when I play Ranked, I'm definitely playing to win, not just having fun, and because I really enjoy the possibility to chose with who I queue with, but they are not friends. But your options aren't really accurate, because at the same time, well, they are not friends, and I do not queue as a 2- or 3-man squad to get carried and win LP more easily.
So yeah, let's come back to this "getting carried" issue. When I say "I wanna choose my team-mate", SoloQ'ers think "yeah, sure, you wanna get carried/boosted". And theoretically, that's certainly possible. For sure, a team of 4 Plat and 1 Gold can probably lift the Gold player to a Ranking that he doesn't deserve. But SoloQ'ers are only considering this from the Gold Player perspective. Why the hell would the Plat players carry him? They have no incentive, they are only making their own games harder. And that also means the Gold player can only play with this team, he can't go solo or with other Gold friends, because he would rapidly go down back to where he belongs, and that's not realist, because getting a team of 5 on a reliable schedule is quite hard. Sure, on paper, DQ enables people being carried. But who is going to do the carrying? No one, that's who. Or to be precise, such a tiny fraction of the player base that the Ranking of the average player (Solo or not) will still reflect his true skills compared to the people around him in the ladder.
Then, there is another issue: I said "true skills" just above, but what skill set are we actually talking about. Some people argue that players in Dynamic groups and SoloQ'ers should not be on the same ladder, because the skills tested are not the same. My opinion on this is that, if you are always playing with a consistent group of the same players, the skills are indeed different. And I'd love to have official stats from Riot, but even if I have currently no proof, I honestly think that most people using DQ today are NOT always playing with a consistent group of people, and that as a consequence, the skills tested are roughly the same for DQ'ers and SoloQ'ers.