I strongly agree with you
ofc it is also a way of running after a prestige lost with the falls of the colonial empires for EU countries
but speaking for the France nuke sub forces it is still mainly based on a defence doctrine imo
but I can only smile about our capacity of projection... let's face it and be honest, owning a single aircraft carrier like the CDG doesn't give you the power to project yourself as we used to do in a 'glorious' past. We simply can't do it today, we don't have the forces, we don't have the budget, we don't have to political will to do it. Times changed.
Ok I know France has forces in several places in the world to help people sometimes to fight (Africa, Iraq, Afghanistan), but without the help of other countries nothing can be achieved. Imo only the US still have the forces to project a full army, but even them call for support from allies.
For me our forces are more some sort of 'police' forces acting under UN resolutions. As you said, empires are lost in the past and there's no need anymore for us (the EU) to be able to project what we used to project before. And if we really need to project forces, it's always as a joint force with EU countries and in that case it begins to mean something from a 'military power perspective'.
But today with the political issues we can see and above all some ressources shortage do not plead for a reduction of the military forces, on the contrary it gives reasons to rise them