This has nothing to do with physical paperwork (See Japan which runs on paper forms even today; most hospitals in US are paperless but they're far from efficient), but the underlying policies that dictate the requirements and how the approval process must be conducted, number of parties/agencies/teams involved and the incentives put in place to make sure it gets done within a certain timeframe (QA controls). Some governments are better than others.
Paperwork really isn't to blame here because even if everything was digital, the people behind the operation and the policies that govern their behavior is still the same. The problem isn't the interface between citizens and the government, it is the backend source code of the government.
You are all barking at the wrong tree.