No, it is not. Russia was attacked by Ukraine multiple times and nukes are still not used. India, Pakistan and China are in various stages of conflicts with each other for decades and all of them are nuke-enabled super-powers.
There are three points of having nukes:
1. Deter other countries with nukes from using them against you, or your military ally.
2. Prevent total annihilation in the war. You can lose the war, but not too much.
3. Burn the world to ashes. Very few countries can do it. It effectively forces the whole world to make sure that this scenario does not happen. So you can be sure that scenario where Ukraine conquers Russia and completely destroys it - will be prevented by the very Ukraine supporters. They don't want to live in the nuclear post-apocalypse, because there are scenarios where Russia fires every single nuclear missile on every major city on the Earth. As Putin framed it: We will go to heaven as martyrs, and they will simply drop dead.
America lost several wars, recently they lost Afghanistan war and right now they're losing Iran war. They won't invoke nukes to overturn the table, they'll accept the lose.
> They won't invoke nukes to overturn the table
How do you know? Trump's frustration is on the rise; at some point he very well may threaten nuclear strikes.
Another scenario is, he tries to invade, an Iranian drone makes it through and sinks a big US ship, hundreds or even thousands of American soldiers die in a very short period of time. Now everyone's upset and the American public screams "revenge".
Then anything can happen, really.
This applies to incumbents (well maybe until it does not). Smaller countries facing destruction of their regime might actually use the nukes. Probably do the test first along with the warning
> they're losing Iran war.
What criteria are you using for this assessment?