Earlier quoted context omitted.
I think this is mostly about searching for the solutions that would prevent people from abusing the fundamental rights to advance their anti-democracy agenda.
That's not how fundamental rights are meant to work. I'm not a monarchist, but I'm happy to allow monarchists (or communists, or Sharia folk, or Baptists) to push for that form of government. Democracy is a durable form of government unless it's systemically broken.
The 18th-century revolutions that were centered around fundamental rights of man, were pretty hostile to monarchy. France famously guillotined supporters of the monarchy. Even the USA tarred and feathered loyalists or drove them into exile in Canada or the Caribbean. It was only years later, once monarchy wasn’t a realistic possibility any more (or, in France, the public mood had come around to monarchy again) that such advocacy was permitted again. And then later movements for instituting a non-democratic regime, namely fascism or communism, got various degrees of prohibition. So, I’d say it’s pretty normal even for successful democracies to interpret fundamental rights in that light.