An organization that can produce Ariane 6 should be able to produce a Falcon 9 clone with similar effort. The real problem is overcoming the of the old, slow, expensive way of doing things.
If anything Europe has the opposite problem: the launch startups are all far too small to do anything on a Falcon 9 scale. SpaceX did't get to Falcon 9 early either. Sure, Arianespace probably could build a Falcon 9 clone, but it's not something they'd want to self fund, and there's quite a few ESA members that don't want to see most of their budget contributions go to funding the development of a foreign launch monopolist...
I've been reading about Airbus' reusable/recoverable SpaceX-killers for over a decade now. They've yet to have anything to show for their work.
https://en.wikipedia.org/wiki/Adeline_(rocket_stage)
https://www.bbc.com/news/science-environment-33006056 ("Airbus unveils 'Adeline' re-usable rocket concept" (2015))
- "...Airbus says it has been working on the concept since 2010 and has even flight-tested small demonstrators..."
(That BBC article predates the first Falcon rocket landing).
That's part of the genius of SpaceX's approach, which culminated in achieving what no one else has achieved on a comparatively shoestring budget.
Credit where it's due: Elon Musk (a) comprehended enough of the technical challenge to ask great questions (and see through BS answers), (b) set and maintained a ruthlessly efficient operational vision, (c) repeatedly took existential financial risks to achieve the next milestone, and (d) set a company vision that motivated people to work extremely hard to achieve what was previously impossible, and (e) worked his butt off solving problem after problem alongside employees.
Love or hate him, very few leaders have ever existed who led companies to accomplish similar feats.
The EU can certainly throw money at the problem but that doesn’t necessarily manifest cheap rockets. It’s a product of leadership and culture. My experience with the EU is one of a top heavy bureaucracy that’s not overly conducive to this type of cowboy rocketry. Consider the absence of an EU version of Silicon Valley, it’s just computers and with the internet people can program from anywhere…
Arianespace is so thoroughly broken that they genuinely believed that reusability, if they could even accomplish it, would be bad for their business because it would reduce the number of rockets they build. Bonkers.