Never used Qatar so can't comment. Use Swiss regularly BHX to ZUR with no problems. Service is OK but basic. Flew ZUR to HK with Swiss a couple of years back on one of the last MD-11 services & they were fine - mind you, they did give me an upgrade to First which was very nice.
Re connections & baggage, I've always found ZUR fine - it's CH so everything is efficient & no drama. I reckon you'll find that the connect times will be exactly as they promise & your bags will turn up in HK on the same a/c as you.
Bon voyage!