I would be quite impressed to see you do "logging" with a wire saw.  The most you are likely to do is cut through a small 2" - 4"  limb to construct a lean-to or tripod.  There is unlikely to be anything small enough to cut with a wire saw that is also large enough to cause pain when dropped on your foot.   With solid footing on level ground you should be able to wield a wire hand saw barefoot without much worry.  OTOH I wouldn't think of using anything as large a an 18" bow saw without my boots on.  cutting 12" diameter logs with an 18" wire saw will probably not happen.  Cutting down a 12 " tree with a 18" bow saw is common and quite dangerous without your boots properly in place.  Just my two cents.