On one hand, the economy of a government is their “sphere of exploitation” (to use Hoppe’s term from Austrian vs. Marxist Class Analysis). So why would Putin not welcome this action, which punishes those who dare escape his sphere of exploitation, and will likely discourage others from escaping?
1) Russia wants to improve itself by attraction rich, capable entrepreneurs from the west, like the Frenchman Depardieu.
2) In the twisted, counter intuitive world of post-Soviet economies, the exploiters are often trying to escape their own prison. I suspect most politicians of post-Soviet countries had money in Cyprus.