I may be wrong but I was under the impression that local law would have to be harmonized to comply with it in this case anyway. So at that point you have no contradiction of the two. That the local law would diverge instead sounds highly hypothetical.
As far as I understand, this is a ruling about Council Directive 91/250/EEC. A directive is like a template from the EU that gets copied into local laws. So there is no distinction between local an EU law here.