I never thought of the 10 essentials as emergency gear exactly. That's why I think they include a map and compass to keep people from getting lost not to help them get found. I agree are mostly better off stopping for a brew up when they do get lost though. The pause to collect your thoughts is invaluable even if they do end up hiking out.
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A gentleman should always be able to break his fast in the manner of a gentleman where so ever he may find himself.--Good Omens