i.e. you don't need someone else's power plant, you can have a small one dedicated to black start.
Yes, hydro works really well for this. But it's not the only option.
Isn't black start almost always provided via a distant grid connection? Do you work in transmission or generation?
As I understand it, in the US, the NRC prohibits nuclear power plants from providing black start, for safety reasons: https://www.energy.gov/sites/prod/files/2019/05/f62/Hydro-Bl...
From the same source: "Historically, power systems have relied heavily on hydropower plants for black start capability. ... About 40% of the units in the United States maintained and tested for providing black start are hydropower turbines, although hydropower makes up only about 10% of overall US generating capacity."
It also answers the question of what is usually used, namely, gas combustion turbines — in the US, that is. Gas turbines provide over 50% of both black start capability and black start events in the US.
Maybe nuclear plant black start diesel generators do provide black start in some other countries? Where? Bueller? Bueller?
But to suggest that nuclear is sited near hydro for that purpose is just wrong.
The 40% number is not based on the New York blackout, which was in 1965 and not in 1967 as you say, and it is not hypothetical; one number is based on the black start capacity system operators file and pay power plant operators for, and the other is based on actual black start events.
It is true that that is not why nuclear plants are sited near water.
The 1967 study was conducted in the wake of the 1965 blackout.