I think your reply shows that you haven't yet fully grasped the point. I think you're looking at it from the wrong angle.
Neither of your analogies is a good fit. Nimitz didn't render all previous aircraft carriers useless. It was not so vastly superior to its USN predecessors as to render them impotent against it, or an equivalent ship, & that was the point of Dreadnought: not its superiority over German ships, but its superiority over the Royal Navys ships. And in any case, building a copy of Nimitz would not give you its power, since that depends also on its aircraft, its communications - a whole system.
The B-2 cannot be effectively copied by any knowledgeable person who's seen one, & came at a time when nobody was attempting to (or could afford to) compete with the USA in air power. Again, different in almost all ways.
Dreadnought was a peculiar phenomenon. Everything came together at once. Certainly the Kaiser was seeking an outlet for his Imperial ambitions, & would have built up his fleet whatever the RN did, but if he hadn't built dreadnoughts, the RN would not have needed to respond at the same rate, because his build-up would not have threatened its vast numerical superiority in older-type ships. Therefore, no race. Germany could compete, because it already had the technology & shipyards needed to build such ships, & its economy could sustain the building programme. All of these things had to be in place already for Dreadnought to be the trigger.
The last time there had been such a leap in warship capability, guess what happened? The RN immediately built more than any potential rival could possibly afford. No race, because there was nobody to race with. That was in the 1860s - HMS Warrior etc. In the 1900s, there was a capable rival, so there was a race.
You see? Dreadnought was not the sole cause of the pre-WW1 naval shipbuilding race, & nobody is claiming it was. The circumstances had to be right. But they were right, & so it triggered a race. It gave the Kaisers naval dreams a hope of being realised.
BTW, here's a thought experiment for you. Imagine the Germans had built the first dreadnought, then try to imagine what the RN would have done.