Yes it does, for being part of EASA the UK will have to accept ECJ oversight, as do all other non-member states that participate. Pointed out in 6) "The European Council further reiterates that the Union will preserve its autonomy as regards
its decision-making, which excludes participation of the United Kingdom as a third-country to
EU Institutions, agencies or bodies. The role of the Court of Justice of the European Union
will also be fully respected."
The article focused on the EMA, but the provided document doesn't. Quite obvious or else you couldn't quote the parts about aviation...
Of course there is a desire for EU/UK aviation safety agreement, but not as a member of EASA without also accepting ECJ and also not in some form of cherry picking as dreamed up by May with assocation to the parts the UK want's to retain membership status. You're confusing agencies with programmes.
And it won't unless the idea of associate membership to some EU agencies also is of the table.