This was my compromise: I hand wrote fill in line questions (name, address, phone number, etc.)
I have a printer/photocopier. So I printed out my essay portions as they would appear on the application, scotch taped them to the actual application and photocopied the original. That way the lengthy parts were typed and easier to read, while neatly writing out the other stuff.
Inconsistent, but I turned them in pretty much the same day I received them, and received interview invites from some. 😳
Just as long as you write neat and legible you should be fine.