I have read that the Canadian and American snipers stationed in Afganistan only used bore snakes to clean their incredibly accurate and very expensive sniper rifles.
Apparently the bore snakes did the job perfectly well, appeared not to change or damage the barrel in any way, and were very convenient to use in the field.
The guys who put their lives on the line while attempting/making 1000+ yd shots - if they trusted bore snakes, why do so many part-time hunters consider them to be terrible?
And really, does ANYONE know of any validated report of a properly-used bore snake damaging a barrel? .. (If so, please give us the reference).
When I'm looking for a means of cleaning the bore of a rifle in the field, I won't consider a Boresnake. If other guys like them, I have no problem with them using one in their rifles; I would think the primary consideration is to keep the Boresnake free of grit. As for what soldiers use, that's often due to a lack of options, the military says you use this, so that's what you use. You don't always get the best tool for the job. Historically the military has supplies a pull through with the rifle, and the Boresnake is just a continuation of that quaint idea.
But your assumption is correct, I am unaware of any rifle that has been damaged through the use of a Boresnake, whereas there have been many rifles damaged through the inappropriate use of a cleaning rod. What we're talking about here though is a training problem rather than an equipment problem. Lack of damage to the bore of a rifle seems to me to be a poor reason to carry a Boresnake, given its other limitations.
Consider the following . . . There you are out in the wilds, miles away from help (as opposed to being at the range with you truck full of gear 50 yards from the bench) when you have a bad fall in difficult terrain, and although you're able to protect the optics on your rifle, on inspection you realize that the muzzle is packed tight with snow, mud, or whatever. A pull through under those conditions won't get the job done. But a jointed steel rod equipped with a brush and a brass jag, with enough sections that its long enough to reach from the receiver to the muzzle, has you back in the game in no time. Similar situation, you've been out in the rain all day, you need to patch out the bore of your rifle to dry it, then run a oily patch through it, then another couple of patches to remove the excess oil. What's easier, a jointed steel rod or a Boresnake? You have a difficult long range shot to make from an awkward position, and you need a field expedient bi-pod for a rear support. A couple of sections of cleaning rod can be wired together, and now your position is stabilized. Try that with a Boresnake.