Yep, always had six or higher in Admin (until I finally reached the point to Modernize the Military, in which case my ruler promptly died). Just had absolutely no luck, and as such I'm going to remain hesitant in any future westernization required runs to depend on PoTA to fire its event. Even so, you very well may find yourself without a skilled enough ruler for the majority of that time, as you very well may lack the ability to switch to some form of elective government and switch until you get one.
I still prefer leaving it as an option to get Innovation rather then not, it potentially frees you up to move centralization and if it fails to fire then you at least got an easier time with Culture %.