I think that here lies the issue. Is this the only way that you show that you value their thoughts / opinions? If so, the problem was never with the cups. If not, then this is how you comfort / reassure your partner and not "lets agree to disagree." From that place you have a conversation where you both figure out how to best make the both of you happy. E.g. "we'll get a special/specific cup which looks like it belongs in this area and you can leave it here as long as its empty and only use that cup." There are always various compromises that can be made as long as you have that conversation and are both looking for the best for each other.