Yup, a democratic system should be judged on its outcomes, not its structure. If the decisions taken by a democratic organization do not strongly align with the wishes of the large majority of its members, then it isn't democratic. There are plenty such examples playing out today. Besides, in representative democracy voting at the various elections is not enough to achieve highly aligned outcomes. By the time you get to the ballot box a whole lot of the fundamental decisions have been made without your input. E.g. who the representatives candidates are and what their candidate platforms are. This is how you get to "all the choices suck" and "vote for the least bad option" scenarios. Meanwhile the prebaked decions that lead to these scenarios are going to benefit the interested groups that made them. The effect of voting at the ballot box in such scenarios then becomes providing consent to satisfy those interests.

E: And of course any leftist can explain why and how those interests arise and how they capture the representative democratic system. And how that produces loss of faith in the system.