Ok, I’ll try to act as devil’s advocate (which seems strangely natural, given Draghi’s slightly devilish look).
1. The euro zone, not just the euro itself.
Given the recent expansion of ECB’s tasks (#SSM, #SRM) there’s no point in pretending, that the ECB is there only to supervise printing money. The banking union clearly surpasses classic moteary policy.
2. The people of Europe. This description includes all non-EU residents in the eurozone. ECB is their bank too, as they belong and contribute to the economy of euro. Following this line of argumentation, EU-citizens living elswhere are not of ECB’s concern. It’s the wallets, not the passports, that interest Mr. Draghi
On the other hand, conflating Europe, EU, and the Eurozone never fails to get on my nerves. At least the central bankers should know better and stick to the facts and their mandate.