Does that mean that the entire EU has no military satellites at all? (Or maybe like 10 from France's CNES, and that's it?)
Those Swedish military satellites are just kept extremely secret.
Countries like Germany, Spain, France and Italy does have a number of satellites and it doesn't seem to be specified what they are doing. It would be weird if none of those where not military.
Europe is a more finite geospatial target. Fewer resources required. France has already stated they have the capability to fill the gap for Ukraine for up-to-date movements along the 1,000+ km line. They are currently working on the next generation program, IRIS, with a target date of 2027.
https://en.wikipedia.org/wiki/IRIS%C2%B2
https://europeanspaceflight.com/ariane-6-successfully-delive...