My takeaway:
* Lots of people there (no offense intended if any CH people read this) referred to the language I know as 'written German'
* Lots of people (TV news guys are kind of the only counter examples) have a _heavy_ accent if they speak what they consider de_DE (Time for an anecdote: A good local CH friend of mine told me once that he talked with a DE guy for quite a while, on his best official German level, and was told all of a sudden if he can talk German (probably considered as 'accent-free') as well).
After fighting the 'everybody speaks German in CH/AT' a bit I'd like to point to the fact that there are lots of accents and dialects that just sound like gibberish if you're not used to them. Let's leave AT/CH out of this for a moment: If I visit the northern part of Germany/the shore, if I visit the most southern places, if I go to the southwest (Platt/Bayrisch/Hessisch) and people speak 'normally' I end up understanding 50%-70%. And I didn't even mention some dialects from the east of Germany.
Actually - if people from Berlin talk fast and use the local dialect, I'm lost..