Yep! But the overlap between the UK and EU ecosystem would be dwarfed by the overlap of the US-UK ecosystem.
So long as the EU doesn't have their own equivalent of Index Ventures, I'm not sure an EIB style industrial policy program would have significant impact on the British startup scene.
So long as the EU doesn't have their own equivalent of Index Ventures, I'm not sure an EIB style industrial policy program would have significant impact on the British startup scene.