Actually this summer my country had to temporarily switch off around 3GW of coal power due to the heatwaves, so no - coal is not as reliable as it's presented by some.
[0]: https://www.theguardian.com/commentisfree/2019/jan/31/what-h...
Of course, this is not at all contrarian to your point, I made the precision because "no longer could be cooled adequately" could be misunderstood.
They were also some problems with the efficiency and reliability of backup generators during heatwaves, but this is not very hard to handle (the backup generators are much easier to cool than the reactor itself).