If you had a BOB, and it really was TEOTWAKI, then hopefully, the BOB will have some things in it that will allow you to survive long enough to begin thinking about the longterm. If you don't make it past the first 72-hours, if you do not have something in which to keep water, if you have no idea about how to try and ensure you have a clean water supply, then you are probably in more trouble than the person who does. In other words, I think the simple answer to the first question is a probable no, with no way of finding out until TEOTWAKI.

Also, I think tools in your BOB that would allow you to make a transition toward developing a sustainable lifestyle would be an ideal thing to have. I think any tools you have cannot hurt. The decision is what tools, and the knowledge about which ones to choose is somewhat an exercise in forecasting the conditions you might encounter. But some of the tools you are likely to think are useful for the short term, could last you a good long time. For example, I think any knife worthy of being in the BOB is a potential longterm tool.