I am sorry to break the news, but UK is not in EU, so registering a company in UK is of the same effect as registering it anywhere else outside EU
However it is in Europe.
And yet I'm not seeing an awful lot of advantage of registering in the EU then if this campaign has to exist - clearly there's a big enough friction to registering / running a company within the EU itself.
Fair, probably shouldn't have added "Europe" in there, removed it.
Regardless, being able to incorporate in UK doesn't help much unless you're in UK yourself, given they're no longer in the EU.