The EU government has rolled out it's strict measures to fight privacy and freedom. Of course I support reasonable means adopted by the government to curb financial crimes but this shouldn't trample on individual rights to privacy and freedom. There is need for the government to consult with key players in the industry before such policies are made.
Banning anonymous payments will affect law abiding who are using these privacy coins for genuine purposes. Some people usually buy items privately or want to make an anonymous donation.
People living in the EU would have to start devising means of bypassing these restrictions. Some businesses and individuals might consider leaving that jurisdiction.
As a resident in Europe, I totally agree with you. Criminality must be shut down as much as possible, but the European Union's Comission is implementing certain measures that are delimiting our financial liberties with undemocratic policies, since they have not been consulted with European population.
I certainly believe that government should not know every economic move of ours, since lots of people want to donate anonymously or trade with privacy (in XMR forums are normally traded items such as ecologic lemons and other feastables). For those reasons and even more, countries that conform the EU are declining in every aspect and they not represent anymore what they used to.
Until the moment, there are some over-regulated countries such as Spain (which has one of the most inquisitive revenue systems worldwide, being only overpassed by the Mexican SAT and the IRS) and others in which there are lesser restrictions like, for instance, Latvia or Estonia.