Kinda…. Different areas are probably different, and no part of this should be construed as defending the insanity around AI, but in my area, data centers are typically part of load-shedding agreements with the local power utility, and they’re likely to simply switch to backup generators to help mitigate demand peaks. In some cases they may back-feed their excess generator power to the grid on a short term basis. Typically speaking there are financial incentives, fees, or offsets that they receive as compensation.
So yes, they’re probably on at full blast, but they’re probably powering it themselves so it’s not a direct impact on grid health.