Am I Not (?) Entitled To My Opinion

you know when people have heated conversations someone would say, "Well i'm entitled to my opinion", why? because they know they know they can hold on to the wrong saying BUT all they'er doing is just stopping the conversation and not finding the truth to whatever they are looking for. Plus, its a lie to them being entitled to their opinion because they are not on the same page with the person they are talking to, because they are not thinking the same has the other person, because we are not the same.