Very few people have any insight into how possessive they can be. It is like not knowing if you have bad breath. Only other people can tell. Should they tell you?
This code signals an 'impression'. The other party is made aware of this impression. The other party may disagree and may argue that it is not so. You can argue with the basis of a perception but you cannot argue with a perception. If things are perceived that way then they are perceived that way.

There may well be a good reason for possessiveness and even jealousy. They may even seem 'justified'. That is not the point. The code signals that this behaviour is not attractive.