You are right. I prefer to look at least one layer below the label.
I don't assume that my definition of a label matches that of the writer. I find arguments over the meaning of labels a waste of time. Notice the word there, arguments. I think use of labels with mutually agreed labels is fine.
While I agree that the entire sum of a person cannot be defined in one or two words, it is an impossibility to present a dictionary to the public and ask them to read their record. Labels are shorthand. A cliff notes cheat sheat. It is the responsibility of the public to do further research if they do not trust in the assigned label. If they have no desire to do so, or lack time, this is the tool they latch onto. While not perfect, it serves its purpose.