All those things trade vs "cash". If you have a proper flight to liqudity, driven by redemptions and an overwhelming desire to stuff dollars under mattresses, all three can sell off. That's partly what went on in 2008.
My 'bullshit' description is based on factual evidence, rather than belief, as I have mentioned already. In terms of that evidence and the debunking of the conspiracy theory, I have mentioned a source. If you google G. Edward Griffin you'll find a very detailed discussion of the issue by...
Hmmmmm-m-m-m, indeed...
Also, what does it have to do with the "strength of my belief"? Where did I say that I believe this or that or the other? I just said that there's a whole variety of evidence (compiled by a variety of sources) that conclusively disproves the JFK EO 11110 conspiracy...
It's a bunch of bullsh1t that's been debunked by a whole variety of people, including G. Edward Griffin, the author of that famous pro-Fed (sarcasm intended) book "The Creature from Jekyll Island".
Because that would be assuming all sorts of risks that you might not want (i.e. duration and credit). Pretty much anyone can do this trade and, if it were free money as you suggest, I can't imagine why the curve would still be that steep.
You can hedge the delta, which wouldn't quite get you to where you want to be. The right way, as you correctly suggest, would be to roll the strike, although that might often be costly, bid/offer-wise.
All the old Warsaw pact countries will show up having extremely high "unfunded liabilities", due to the current structure of their pension systems. However, pension reform in these countries is proceeding fast and it's likely that the numbers you see aren't the numbers you're gonna get.