I'd like to hear others' thoughts on these questions:
On linguistic usage: Are most ordinary folk inclined to call some laws, policies, "outcomes" of political decision-making procedures "democratic" no matter what the procedure was? Are ordinary folk inclined to say that laws or policies are "undemocratic" even if the procedures that produced them involved citizens' participation, elected and accountable representatives, was transparent, backed by a majority, [fill in your notion of the purely procedural aspect of democratic procedure here], etc.? (Ignore, of course, the case of laws or policise that bear on procedures themselves, like laws imposing property requirements on voters.) As I see it, no one talks in the first way except Dworkin, Beitz, and a few others. The second usage might be less uncommon; repressing political speech can be called undemocratic. But this isn't a genuine example of the usage, I think, since opportunities to freely express oneself are connected to purely procedural aspects of democracy. Beitz's claim is that an outcome is undemocratic if it treats people inequitably, but that seems unmotivated by ordinary usage.
Substantive issue: why care about democracy?