Hi Joseph, I disagree with you on this.  OSM clearly says "The primary name should be the one prominently displayed on signs, guideposts, or widely recognized and used locally."  

The latter of those options apply to this situation.  Trail/path names do not need to come from or be blessed by government, such as the BLM.  A large percentage of these trails are unofficial trails and are not made by the BLM.  I have ridden these trails with the locals and have done trail maintenance on them.  These are the names that the local users commonly call the trails.    Having trail names also aids in rescue during an accident.  I hope that you are not the one that has been removing the trail names that the volunteer trail builders have been naming the trails around the Vegas/Henderson area.  They build the trails, name them, and then put the trails and trail names on multiple websites.  This is well within standard OSM practices.  If the trail names start disappearing again we will send this to a higher level to look into and have a talk with that person.  Please do not remove these trail names if you are the one doing so.