Then you’re refuting the basic premise of the article, which is that the ultra wealthy want to avoid taxes.
Why else would Eric Schmidt want to become a citizen of Cyprus, which then also allows him to live elsewhere in the EU? It’s certainly isn’t to end up laying more in taxes than he would in the US.
Being a citizen of Cyprus gives him visa free travel and work options in Europe. As he hasn't renounced US citizenship, he certainly isn't taking advantage of that for tax reasons. The article seems to imply otherwise, but that's basically what bad journalism is... strongly suggesting an incorrect interpretation of facts while still "telling the truth".