Is that really true? Did oil run out in the Soviet Union in the 90's; did oil run out in the economic depression of the 1930's?
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My original intention was to get ideas from other posters on the things they would take in the event of a need to move quickly and stay mobile.Things that will have an enduring value should paper money lose it's value, as has happened many times in other countries. It seems there are members of the forum that would rather such threads were not started and those that are happy to discuss the issue and come up with their own opinions. Such is life.
The question of whether bushcraft skills would be useful if there were a total economic collapse has been knocked around quite a few times, sometimes rather heatedly, and it never comes down with a categoric "yes" or "no". The best you can ever expect is a qualified "maybe", if for no other reason than because even the definition of what constitutes "bushcraft" is hard to pin down. Again, there have been quite a few threads on the matter

Most folk here agree that the adaptability and self reliance that seem to go with this interest in what we call bushcraft, would stand people here in better stead than many others in the populace.
There have been many situations around the world where being able to move quickly and be mobile have been fairly irrelevant, just as there have been times when it was important. You would have to have a very good reason to choose to abandon all the useful stuff you have in your house in exchange for the small kit that you can carry on your back. There is sudden and there is sudden. A BOB is for when the sirens go in the middle of the night because the local river is rising. Economic colapse could be called sudden, but could take a couple of months. I would think that it was an act of panic, or extreme paranoia, to grab a BOB and head for the hills because the stock market crashed and unemployment rose a few percentage points.
As for buying things that are of enduring value, even that is a subject open to debate. Gold has always had value and is likely to continue to do so, but you can't carry much of your net worth around on you in gold just because of its weight. You also can't eat it, and might find it hard to use for trade if everything is going to hell in a hand cart. If you just had something like the US Depression, it might not be a bad thing. Your strategy would have to depend on whether you forsaw society emerging from the other side of whatever had happened.
You might well get more useful information looking on some of the financial forums and researching how rich people plan on safeguarding their wealth.
All this is interesting, but it isn't really bushcraft, which is why it was suggested that you would get more useful information if you took the question to a site that was more taylored for it. Or alternatively, to fine tune your question to something more specifically related to bushcraft.