Hi MAN333,
QR001 and 002 are the 'flagship" services of the carrier and will always remain as three class operations due to demand.
The only occasions when a two class operation has occurred is when an aircraft has had operational or technical difficulties. I don't foresee 001/002 ever being two class timetabled.
On the other hand, the third daily service (which has a floating schedule and no fixed departure time each day - QR 005, 006, 007, 008) could be be two class.
QR011/012 are codeshares with bmi and DO have fixed daily times.
Cheers,
A300
Edit: Foto Link. Thanks to the original author for his report.
http://blog.seattle-deliveries.com/search/label/36009