Don't English and Welsh law allow for private prosecution of crimes in cases where the CPS declines to prosecute? Wouldn't that provide an avenue of relief to

Don't English and Welsh law allow for private prosecution of crimes in cases where the CPS declines to prosecute? Wouldn't that provide an avenue of relief to the copy right holders without removing a UK citizen from the jurisdiction of UK laws? This whole thing seems troubling to me. How many US Internet companies collect VAT from sales to folks in the UK? Would that make founders of a US startup subject to extradition to the UK for tax avoidance? What if it's just a tiny DBA "company" with no liability shield? The whole thing smells rotten to me!