I think it's very likely that military operations will become more and more coordinated. After all, they've already pooled their nuclear programme, and although the Eurosyn does serve a political/economic function it is predominately about Cold War diplomacy. At this point there's basically no need for the ES nations to maintain individual forces, except I suppose the 'flagship' projects and small stuff for local work, as you say. Really the only possible zones of contention are going to be the GIUK–North Sea–Baltic area, where Germany gives the US a possible in, and maybe I guess pushing into the Atlantic beyond Sole/FitzRoy? Idk, I suppose ti would rely on either Eire or Portugal going rogue…