Personally, I love to get Divine Right in trade and then I unlock 2 World Wonders for Failure Gold purposes. There's a period of time in the game where you finally have several Cities that can afford to stop building Settlers, Workers, Missionaries, Military Units, Buildings, etc and have them build Failure Gold, and that period of time usually comes just when most of the earlier World Wonders have been completed (at least on high enough difficulty levels). It's also the time of the game where if you didn't start with Marble or Stone nearby, you've probably acquired a source of at least one, if not both of them, either through expansion (militaristic or peaceful) or through an AI who has hooked up 2 such sources and has traded one of those sources to you. In comes Divine Right to save the day!
So, yes, The Spiral Minaret is worth it for converting Forests into Failure Gold all across of the empire, and it tends to be a Wonder that gets built sooner than Versailles due to Versailles not being buildable in AI capitals (and also not being buildable in the rare AI Cities with a Forbidden Palace in them).
When might I self-tech Divine Right? Perhaps when Philosophy has already been traded around by technologically-advanced AIs but 0 or 1 AIs know Divine Right and I need some "cheap" trade bait (cheap relative to other techs that one might have for trade at around that time, such as Education if you follow the approach of going for Liberalism).