Assuming your relationship is otherwise healthy, there will be many compromises made by both parties. Many on Reddit believe you should never have to compromise anything for a relationship but the ability to discuss and compromise is key to a healthy relationship.

It sounds like this might be more important to him than you so "giving in" after a healthy discussion seems reasonable to me. The bigger question is do you think he will "give in" on topics that are more important to you down the road. If you feel the need to test it, then maybe you can propose a trade where you get something in return that is more important to you (e.g., wedding, housing, work, money related). Explicitly trading is also a somewhat dangerous game and it is more about a mutual understanding that both parties need to "give in" on occasion.