If you are escaping (which means you were already caught) and/or evading (avoiding capture) you have many more serious problems than what tool to carry. If you were caught, and escaped, you will be lucky to have the clothes on your back. If you are evading, weight is a killer. One of the primary considerations for evading is leaving as little trace as possible, and that means no shelter unless you have a very concealed position, and definitely no fire.

E&E is a very unlikely scenario for anyone on this forum who is not military or working in hostile environments (where people are trying to kill you).