Ed Conway released a video on the UK's gas network and disaster planning[0].
As shown in their documentary, a shutdown of exports to Europe would only require 2 or 3 failure events (low production from wind/solar, high-usage of gas for power/heating, disruption or cessation of imports via gas-tankers, well-placed damage to the gas network, extreme weather in the north sea). To maintain pressure in the gas network, they would begin shedding the largest loads first, exports to mainland Europe is #1 on that list.
Let's also not forget Nordstream and the disaster that caused when it mysteriously blew up. Before those pipelines exploded, there were protests in Germany because people were struggling to heat their homes.
Nuclear isn't vulnerable to any of these issues, we're very lucky that construction and investment has continued these past decades. /s