https://www.statista.com/statistics/717004/general-elections...
It is hard to call minority rule democratic, really. I've no issue with your point on the OSA and think it is widely supported, but let's be realistic, representation in the UK is virtual on matters like this: widely supported, but mostly by coincidence.
Arguably, minority rule is more democratic than majority rule, because minority rule isn't "the minority does whatever they want".
From my anecdotal evidence, is that it's fucking stupid and hated