This concept, broadened to include "acquisition at all costs" is what the book Eating Grass is about.

The title comes from Pakistani leaders' declaration that they would acquire nuclear weapons capability even if it meant their citizens would have to eat grass. Every government with a viable nuclear weapons program that has abandoned it has come to regret that decision. The nuclear weapons states have utterly failed to make the NPT an attractive bargain for the non-nuclear weapons states, which has completely undermined the goal of non-proliferation.

Ukraine had no choice. They were Russian nukes, and not giving them back would have probably triggered a war immediately. But with Ukraine drowning in pro-Russian influence at the time, there is no chance they would have defied Russia.

They were soviet nukes. Ukraine was soviet land and soviet people too. Breakaways by definition take stuff with them. To claim Russia had a right to the nukes is no different then saying they had a right to the land and people.

They had a choice, they just chose the one that didn't lead to war.

They didn't have the codes to use the nukes though so it changes the balance of power somewhat.

So, new launch control? The war heads would still work. Especially the old ones just needing the turn of a key.

Ukraine was a Sobiet republic under the USSR, as was Russia. Ukraine also took other military stuff, the Black Sea Fleet was fiercly discussed issue as well. Economically and politically Ukraine didn't have much of a choice, sure. Legal ownership wasn't the propblem so.