Well, er ... no. I did actually mean air. This is what was going through my brain at the time ...
Rust is iron oxide (mostly Fe2O3) so oxygen has to be present to make rust. Air is about 21% oxygen. In a sealed tube there's a finite supply of oxygen and not all of it will dissociate into ions to be available to react with the iron in the steel. The oxidation reaction will proceed until it reaches equilibrium and then stop as the available O-2 ions are depleted. I'd guess that the amount of rust produced would barely be noticeable.
It's true that the rust reaction is greatly assisted by the presence of liquid water as a medium in which the oxygen can dissolve (ionise), but I think it's safe to assume there wouldn't be any liquid water sloshing around inside a frame tube. It may be present as vapour in the encapsulated air, but water vapour only makes up around 2% of air, so the oxygen in the water vapour wouldn't play a big part in the rust reaction.
Someone who knows chemistry will come along in a minute and tell me I've got it all wrong. :