I have tried it.. Both with a dollar bill as well as a British pound
I can pull the bill out at the very top of the door, but with a little effort - and when I asked here about this a year or so ago I was advised it was probably OK, as long as it didn't come out too easily. I've also gasketted the living daylights out of the stove in the spring (turned out that gaskets were missing, that should have been there, all round the secondary burn plate). That improved things a lot, maybe it will turn out to be enough come the colder weather, I hope so.
But I know for sure that I have a strong draft up the chimney, it was an issue even when I still had an open fire and the chimney sweep would always comment on it. I swear last winter some of those gales almost pulled splits up the flue!
The problem is made more complex by the fact that my stove burns unevenly - way more excitable on the right side than the left. Always has done. A few other folk with F3s have the exact same issue - there are several threads here about it... But this means that, really, I only want to reduce the burn on one side of my stove - the side opposite the secondary intake.