No, the NATO allies all work together to catch each other’s dissidents

Ah yes, well known dissidents like

checks notes

Angela Merkel and other EU officials

Meanwhile in Denmark

In August 2020, Trine Bramsen who was recently appointed Danish minister of defence in June of the previous year was told of the operation, following which agency head Lars Findsen and three other officials were suspended.[7]

https://en.wikipedia.org/wiki/Operation_Dunhammer