This statement made a while back (to Fox news I think?) sat with me for quite a while because.....YOU'RE NOT TALKING ABOUT NEGOTIATIONS, YOU'RE SAYING YOUR POWER TO THREATEN THEM IS DIMINISHED!
It's RIDICULOUS to me how they're phrasing this; why would the DPRK having nukes make negotiating with them harder? You're not talking about negotiating with them, you're talking about threatening them!
I hate metaphors for countries but this is like if you had a gang of armed people (who have and DO actually commit violence against unarmed people) saying this one guy they hate has become harder to negotiate with because he also just got a gun; you're not talking about negotiating with people, you're saying you can't threaten them anymore!
It's almost a given that post-cold war Americans are unable to negotiate from level playing field or when they are at a disadvantage. If they feel like they can't squeeze the other party without themselves getting burned they will just keep flinging shit however impotently. It's really something to do with geography. USA has two oceans to the east and to the west and to the north and south relatively weak subordinate states. Leadership feels no pressure to set the world on fire if it benefits them, they themselves live on an island and will always be more or less be isolated from any chaos. As long as US sits on enough global economic choke points and retains a superpower status they don't have to keep any promises either. They only thing that can threaten this model are nukes reaching US mainland, alternatives to dollar or domestic uprisings.