Personally, I feel that as a dog owner taking a non-native animal (with very non-native microbes) into the backcountry, I follow leave-no-trace and either bury it the appropriate way or pack it out. I double-bag it and have never had problems with the smell. It also helps to have my dog trained to "do her business" on command, that way I can find an appropriate spot of make sure she's "empty" before leaving home, which works most of the time. The 14ers are climbed by thousands, if not hundreds of thousands of people each year (and a decent number of dogs) and if we all followed the logic that "nature should take it" then that would leave some very unsanitary conditions along the trail. I want to be able to enjoy the trails with my dog, and this includes the responsibility I have to myself and others to clean up my dog's mess.
And on the subject of leaving it to "decay", many of the microbes our dogs harbor can cause disease in wildlife, not to mention in humans especially if it gets into water sources. If your dog has ever been diagnosed with giardia, they are shedding the parasite for life in their stool and can infect others if not properly disposed of. And above treeline in Colorado, that waste will be there for a while.
Accroding to a study done by the City of Boulder Open Space (CBOS):
"The observational study conducted on CBOS lands indicated that most visitors to open space areas follow the LNT guidelines. Approximately 87 percent of the visitors observed traveled on trail, collected their dogs' waste, refrained from littering, and followed other LNT guidelines as advocated by the literature. Of the 13 percent who did not follow the LNT guidelines, 80 percent failed to follow one of the procedures pertaining to dogs (waste or control).
In other words, dog-related issues represent 80 percent of LNT guideline non-compliance. Although this observational study was less formal than the questionnaire, it did provide a rough snapshot of actual behavior trends. The information obtained echoes conversations with other land mangers. Dog-related impact is one of the most pressing issues for wildland managers near urban areas."
Please pack it out!
Such things for example as the grasp of a child's hand in your own, the flavor of an apple, the embrace of a friend or lover...sunlight on rock and leaves, the feel of music, the bark of a tree, the abrasion of granite and sand, the plunge of clear water into a pool, the face of the wind--- what else is there? What else do we need?