What is a EU controlled Military for?
The purpose of the original European organisations beginning with the Coal and Steel community was to bring France and Germany together politically after generations of conflict.
Other countries damaged by European conflict then joined in, notably Italy and Belgium, Luxembourg and Netherlands (Benelux).
Attempts at defence cooperation started with the Western European Union (WEU) which amongst other things commited Britain to deploying 155,000 in BAOR and RAF Germany.
The WEU underpinned NATO..
With the end of the Cold War the Russians wanted the Organisation for Cooperation and Security in Europe (OSCE) to take over from the Warsaw Pact and NATO.
For a variety of reasons, notably the collapse of Yugoslavia and Russia's war in Chechnya this never happened and NATO remained the key security provider.
French and German opposition to the US led invasion of Iraq in 2003 and the Trump era US withdrawal from various commitments have refocussed these countries' interest in a European led alternative to NATO. The UK withdrawal from the EU has made this easier.
France's nuclear capabilities coupled with the sophisticated defence industries of Germany, Italy, Netherlands and Spain are more than adequate to develop a European Defence Force.
What is lacking are the political skills that led men like Ernest Bevin to create NATO.
The close relationship between the US and UK has not been replicated between France and Germany.
Donald Rumsfeld had a point when he called the "New Europe" of Poland and Hungary as looking to the US not Brussels. You could add pre-Erdogan Turkey to that list
As I wrote earlier it will be for Scholz and Macron to succeed where their predecessors failed. The erratic personalities of Biden and Johnson may make their task easier.