But there are many apps that have complex internal states. Subroutines and functions don't say anything about how to deal with it. This state ends up being global variables, which is a big issue.
I once worked on a complex desktop app written with functions and global data. It was nearly impossible to modify it, or understand what it does. A click on a button could execute 1,000 lines of code modifying dozens of variables, resulting in effects throughout the application. Debugging a seemingly simple issue could take an inordinate amount of time. We had to re-factor the entire app into OOP and model-view design to stabilize it and move forward.
The app had about 30,000 lines of code. So, based on this experience, I'd say it's too large for the functional style. When I start a new project I often don't know how large it'll get, so the safest approach is to default to OOP. If the functional approach will prove more appropriate down the road, it should be relatively easy to integrate functional design in those parts of the app where it's required.