Forge 004 is a BOV designed for our 1.8T engines. At idle, this BOV is closed so you shouldnt have any problems. I think HKS is closed too, but that was made basically for Japanese cars, but people run it on our cars. I dont think a proper BOV can damage the engine. Yes you can run rich (less mpg) but it is ok (at least for me).
And it doesnt matter what kind of car you have Euro or Jap, it depends on a turbo/engine your got.
And yes, a lot of us recommend to have a DV, but a proper BOV shouldnt damage anything on your car. As i have said, i have Forge 004 BOV isntalled now. There are some Hybrid valves which are BOV and DV at the same time. You can actually adjust it on how u like it.
I put a cone filter into my car first, it did make noise, but you could hear it (at least in my car) only from inside. Then i put a Forge 004 and now sounds kinda loud

))