"They have executed well in financing the building of this network..."They have executed well in the building. Financing is kinda easy for a country of only 1.3 million people heavily subsidized by the European Union (which Estonia is a part of).
During the 2008-2009 crisis (which is not done yet but I digress), the Estonian GDP took a gigantic hit: -20% of the GDP. That's what you get when you're taxing the private sector like crazy: the private sector, in usual circumstances, can barely survive. If any crisis happens, then the private sector dies and the economy crumbles (thank you socialism for the crazy high confiscatory tax rates on the private sector).
It's like Poland, for example: I love this country and it feels incredibly more "new" and even sometimes more "hi-tech" (e.g. in big cities malls) than western europe... But Poland is receiving crazy funding from the EU to get up to speed.
As an EU taxpayer, that said, it's good that at least some of money is used to invest in technologies that are bound to become very important in the future...