IIRC spoken Latin is taught differently in continental Europe, so that it sounds much closer to modern Italian. The pronouncing "v" like "w" rule is mostly an American (or at least Anglophone) thing.
In areas where Catholicism has predominated, it's more likely that the ecclesiastical pronunciation will dominate. As I recall, the German exchange students I had in some of my classics courses used the classical pronounciation (their big weirdness was pronouncing θ as an aspirated t (like in Goethe) rather than a th sound.