And who will be attacking the SLOCs?
Wouldn't such a scenario engage NATO?
If so, where would an EU force come into play?
Will there be separate, dedicated forces for each? I highly doubt it, only an even more cumbersome chain of command/coordination
Is the fictional force to have an offensive mindset or to be a defensive force? Against whom? In whose best interest?
Will NATO go away in that case? Possibly, but to what benefit to either the European nations or the US?