In a statement, the writer is speaking to strangers (this is why analysis of your friends and family can not only be hazardous to relationships, but also be way off mark), therefore, the same social introductions that exist in life should be found in a statement. We've covered this before, and I will do some articles soon.
"My wife, Heather..." is a proper social introduction as it uses title (wife) possessive pronoun (my) and her first name (Heather) which indicates a strong emotional bond. It does not necessarily mean a good relationship (people can have strong bonds and destroy each other but not divorce) but a strong emotional bond. There are various forms that can be found:
"my wife" without the name, is still strong, but not as.
"the wife" is not good.
"Heather" without title nor possessive pronoun is not so very good.
"my ex wife" is a good, functional relationship.
"the ex" is not good, but there is one even worse:
"the mother of my child" is bad and can be seen where the subject may want to murder her.
When hearing such things, (when written to a stranger, or spoken to a stranger) it will indicate much about the relationship. Sometimes, language will show, especially during a long statement, that the title may change as the couple argue, and then later return to "good" status.
We even measure when a subject mentions someone: who is introduced first in a statement? How many words are dedicated to one person, rather than another? This is why counts become important. What isn't said about a person? What is said? What is said in the negative? What is persuasive? And, on it goes...
We must be careful when drawing conclusions.