Funny (?) how sovereignty is being used as basis for views on such a pick and choose way in many issues in UK, the EU - Europe, the US and other countries these days!
IMO genuine #sovereignty means not only "no immigration" and "jobs for citizens" but also NO to foreign: investors, debt, products, services, SWFs + NO to international agreements (eg WTO) or memberships of any bonding nature (UN, ECHR, COP, etc). Not a la carte!
And of course, No to exports as well!