Agree with all this except:
Production is always good, but again I dunno if it's worth the opportunity cost plus the real cost to get the tech and Hagia just to get +% production. A typical city midgame might have 7 or 8 believers, so 8% out of, say, 30
is only +2.4
per city. Not too shabby, but, again, worth it to divert your early game to get Theology and spend 300
? Debatable.
Well, if you don't do Stonehenge then you have to build shrines/temples in multiple cities early game when (in your words) you'd rather be building granaries, archers, etc. Or, again, divert to Theo + Hagia. So, again, debatable, at best.
Just my two cents!