As I understand it, "democracy" can be used narrowly to mean a direct democracy, more broadly to mean a range of democratic political systems (e.g. constitutional republics, constitutional monarchies, etc.), or even more broadly to mean the overall philosophy and approach to government associated with liberal democracy.

It's sort of like how functional programming can just mean "programming with pure, mathematical style functions" or more broadly it can mean the techniques associated with functional programming like pattern matching, currying, etc.

In this case, it seems to me that the intention was to use the most broad sense of democracy.