Family taking credit for raising me when they didn't

Both my parents were soldiers. This leaving me and my brother really close to lots of our extended family. Even some like my grandfather lived in our home and were huge parts of our upbringing. I have a Uncle who was running for office (some small town politician stuff) back in the day and he would tell people he was raising his sisters kids because her husband was deployed. This was false. My mom never corrected him because their relationship was rough but we never lived with them. We had a home.

Now I'm an adult I correct my cousin every time she says I lived with her. It drives me nuts. It's insulting to my mom who was working during a war as a soldier husband was deployed and was a single mom. I never lived with these family members! My cousin keeps saying "you were young you probably don't remember." I tell her "I remember a ton and I didn't live there and I find it offensive." This has been going on for years. I am getting sick of it.

I won't be told someone was raising me who wasn't or I was living somewhere I wasn't. These are literally the only ones who say this. Everyone else backs my version and they don't stop bringing it up.

I legit would like to have a decent relationship with these people but they are not my parents or sibling and I keep telling them and they don't respect that.

How would you navigate this. My cousin just video chatted me about another topic and got mad at me when I corrected her again saying I never lived with her. I told her I am going to keep correcting her each time she does it because I've never lived with anyone. That they barely even watched me as a kid and I'm tired of hearing about it. She hung up on me.

I'm tired of people changing the version of my life to suite whatever narrative they want it's annoying how do you handle this. I have a very strong memory and have always been truthful.