The phrase "to lead the owner" means to guide and show the owner the right path or direction in order to achieve something. It implies that someone is taking charge and helping the owner make good decisions or choices. Full definition
As they mature, they are a great help when it comes to helping out their owners or leading their owners around if they have a disability, such as being blind. (waycooldogs.com)
Even the most well - trained dog can get distracted and attempt to lead owners in the direction they want to go. (petsprinciple.com)