I think there is a big misunderstanding here. The power grid suffers from a distribution problem not a production problem. The concern with households with EVs is getting the power from the power plants to the houses. During high demand, the powerlines overheat. It's a delicate power regulation dance to keep the flow at maximum capacity without having fully shutdown any power routes in order to cool. If you do not, you will lose the lines which means a significant downtime for that path.
Datacenters are getting direct lines from the production sites. I believe that for some datacenters, retired nuclear power plants are being spun up in order to serve them exclusively.
SOURCE: Grid management is one of the things my firm specializes in.
EDIT: Believe it or not, households with solar panels that feed back into the grid can be a problem sometimes because the unexpected capacity in the lines can also overheat the lines and hampers the ability of the utility company to regulate lune temps. If you are doing solar, consider adding battery banks to catch the excess.