You literally have never taken the time to understand what any of these labels mean. If you did you would understand why these people disagree has nothing to do with the labels. I say this as an engineer, who likes the idea of treating economies like an engineering or science problem. The rich capitalists only work to service themselves and engineer society in ways that help themselves only. If you want a society that is engineered to help everyone you need to start with people that want to accomplish that. Hence why socialism encompasses many economic systems, because they are all designed to help humanity, not just the rich.
You literally have never taken the time to understand what any of these labels mean. If you did you would understand why these people disagree has nothing to do with the labels. I say this as an engineer, who likes the idea of treating economies like an engineering or science problem. The rich capitalists only work to service themselves and engineer society in ways that help themselves only. If you want a society that is engineered to help everyone you need to start with people that want to accomplish that. Hence why socialism encompasses many economic systems, because they are all designed to help humanity, not just the rich.