Any additional - unused - culture will increase the production of coins, supplies, community work and canned goods. You can test it for yourself by placing a high culture building and checking the production before and after. Event buildings have the advantage that they can then be polished by neighbour help, but they may not be the most efficient solution, at least not in isolation. (Especially if you have neighbours that insist on giving you coins!) The AWs Thrones, Watchtower Ruins and Sanctuary/Martial Monastery all give large amounts of culture and for many players are the main source - that's why so many people were plunged into negative culture overnight when the Sanctuary was nerfed. Watchtower has the additional benefit of increasing the amount of culture provided by neighbour help.
And before you remove all/most of your houses, factories, workshops and armouries, you also have to consider that a number of things depend on required culture - unurium bonus production in the trader, Enar's, Shrine of Champions are the ones I can spot instantly, there may be more.
Essentially, there are a number of strategies and you have to figure out what works best for you and your playing style.