The big difference between the US and Europe, however, is that universities in the US depend on grants to fund PhD students. Many (most?) European countries have national funding programs for their PhDs, which frees up both the students and their advisors to work on whatever fancies them regardless of practicality. France is particularly notorious for this. US academics do not have this luxury.
In my field, by far the lion's share of impractical (Fun! I love it! But impractical) work comes from Europe.
Personally I've worked on a half dozen global research network projects bringing together both public and private funding and 10-15 organisations, mixed universities, research institutes, and small to behemoth companies.
The target is always some wide ranging new radical technology platform and they spawn a bunch of startups and spin off projects.
Some targets can turn out to be too difficult, or simply wrong, but I've never seen a project that hasn't lead to at least one startup / product / new technology.
Eg: Work on autonomous air sensor, then find simple off shoot application for tuberculosis using a completely different technology.
Eg: Build a medical laser for transdermal drug delivery then find applications in dental work and scar tissue removal.
Eg: Design a flexible heterogeneous compute cluster for hpc application, then get customers who want it for the low administration cost.
You start by bringing some very competent and diverse people together to tackle some tricky and new problem. Then after a while you'll have found a bunch of peripheral questions and applications for one thing or other you create in the project.
People talking and sharing experience and knowledge will almost always find new stuff out in the dark. If you're working on the edge of knowledge there is almost always interesting stuff hiding just outside the light of your personal flashlight. Bringing people together in multidisciplinary projects is amazing.