An increase in demand shouldn't cause a power cut because of the forecasting models available, that's correct
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What some media has been saying though is that there could be intentional power cuts due to shortages, essentially forcing people that way for less consumption.
If indeed planned though and people are aware of such a cut coming up, most likely the demand in electricity would just shift to an earlier time in the day, before the power cut: people would try to cook, heat, get their washing down, charge their devices, etc. Very little would actually be gained by an intentional switch off.
It also doesn't make much sense from a stability perspective - while it might be different in the UK and Ireland due to being islands,
in mainland Europe one country having a blackout can take down the rest of Europe with it, as the the countries' electricity lines are tightly intertwined. Yes, it is true that a big storm could lead to such a blackout event, this has been the case for years and the gas situation doesn't help, but I doubt that someone would add the risk of a planned outage on top of that. You need a lot of electricity to get things going again, often more than for pure maintenance.