I absolutely never do this. Maybe because I'm paranoid, and especially if I'm flying internationally, I never, ever, feel comfortable handing my mobile device to security or Immigration. I still get a paper one every time.
While I get your point this is really unnecessary when you fly within Europe. Specifically within the Schengen area.
Usually you don't hand your boarding pass to anybody. Instead you self-scan it once when you enter the passenger / transit area and a second time, when boarding the plane through a self-service gate.
This may vary by airport, but on most of my flights through a number of European airports access is pretty much automated.
Sure, but that doesn't solve my (perhaps somewhat irrational) issue with physically handing my phone to people I don't really trust, especially when out of my home country.