No, renewables are easy to regulate and nothing about them is slow. You can regulate solar in milliseconds, wind in a couple of seconds. They don't have to produce when there is no demand.
And yes, you have to provide as much electricity as is pulled from the grid. But that does no longer have to be done in a constant fashion as with nuclear and coal. That is why I write that "base load" is reduced. Overall energy consumption isn't. It will actually rise with the electrification of mobility and heating. That is, why there is a need for a huge buildup of renewables.