You should be skeptical, because Musk and the Musk Youth are precipitating 1-3 constitutional crises daily. And then they ignore federal judges who tell them to stop their coup.
Nothing about NOAA makes a dent in the federal deficit. You're thinking of entitlements (which are appropriated by Congress, a co-equal branch of government that makes laws (lest you forgot)), and defense spending.
I’m aware of the size of NOAA, it’s still tax dollars. If they were spending $10k that could be $8k it’s still tax dollars. That would apply to any federal agency.