I'm extrapolating here but Gulf states are very much questioning the US-Israel shield and will likely use Korean weapons acquisition to demand greater security guarantees.
I absolutely think Korea can pose a major threat to the petrodollar arrangement if left unchecked so its in the interest of US to see they not lose anymore trust with gulf states.
It's not beyond the pale to think Korea can offer significant security guarantees but I will concede that is more of a post-unification type of scenario.
But the opportunity is opening and if Korea doesn't take it, Japan might or both countries might offer what gulf states look for : being honorable and without any territorial ambitions and for both countries it might be the ultimate dream to have sovereignty over their own energy resources without petrodollar breathing down their neck since WW2