Type "F" seems more "waxy" than oily. From what I can find out it has a paraffin base or something similar. It is definitely different from other trans fluids. I've been using it (not in the bore) for about three years, now, and have had no problems. In fact it seems to function as a furniture wax on the stock; at least I've noticed the wood becoming slightly smoother over time. I wipe it on after cleaning then wipe it off the next day. The stock stays very hard and the barrel bright. It does prevent rust, I've found. I prefer using it on the barrel rather than oil because I don't like for oil to get on the stock.
I would not experiment on my own but this advice came from a well known & well respected builder I know. I on occasion use paste furniture wax on the wood, too. To be honest, I'm always on the lookout for tips. This forum has been full of them, cleaning, maintenance, etc.