It’s very simple. If something is minor for you but your partner prompts you extensively that it triggers them - change yourself. The willingness to listen and change yourself is what signals your love. Because everything else is much easier.
If it is actually a problem, then yes, insist on it being fixed. If it is actually minor, maybe adjust your expectations and get over it.
After all, that's also a form of listening and adjusting yourself. It's important to know that in relationships you can't expect to get your way all of the time, and that you don't automatically get your way just because you're the one with a grievance.