No room for admin ideas I can agree with... but if you're not building up your temples and constables in the first 100 years of gameplay you're pretty much doing something very wrong. Unless if you're going for a fast 1400s expansion game very typical of the Ottomans.
My experience, yes, i do not need the admin buildings in the first 100 years of game. After my second national Idea you start teching up your diplo tree, mostly because he is now cheaper than your diplo ideas and they are nearly finished. And all provinces have now your primary culture. So I increase the trade income over diplo points.
Why not unsing temple? Temple cost 52 gold, it is the same amount like a armory. It is simple a decision, more manpower and recovery versus more income. I take always the first one with culture shifting. Here a calculation, a temple brings 1 gold over 1 year., without modification, 0.0825 gold per month.
The lowest possible province, a 1 taxe base province brings you with your religion and culture 1 gold per year. It gets normally this modiication on tax base, -33% non accept (-15% for accept), -20% for relegion. Not only for gold, even for manpower, revolt risk, etc.. So if you remove it, you get more income as a temple. You can build temple and the other adm buildings later in game, when you do not know what to do with your income. My first 20-30 buildings are armory or update of armory, after this I build 40-50 level 2 trade buildings. And than, what i want.
With every nation.