It’s not even that it’s overregulated but that the amount of power it brings online at a time is just too big.

Individual wind turbines aren’t very big, solar panels get laughably small, and while they are not efficient at their small form factors they are very easy to scale up and down. Nuclear is the exact opposite, representing a very large single point of failure, and even under pre-renewables hard to absorb; some of the first pumped hydro was developed to take excess nuclear capacity because it cannot scale up or down very easily.