I just did a quick comparison between Mayfield Road, Minto Street and Dalkeith Road, for the stretches between East/West Preston Street and West Mains Road/Lady Road.
The data is understandably a bit noisy, but at first glance it doesn't look like a glowing endorsement of the QBC. Importantly, this does not take into account the numbers of people cycling on each street.
The QBC was installed in 2012.
For the years 2005-2011, the average number of incidents involving cyclists on the three streets were:
Mayfield: 2.7
Minto: 2.7
Dalkeith 1.3
For the years 2012-2016, the average number of incidents involving cyclists on the three streets were:
Mayfield: 6.2
Minto: 4.4
Dalkeith: 2.0
So although incident rates have gone up on all three streets (presumably because there are simply more people cycling?), they've increased more on Mayfield Road. This could be because there's been a greater increase in the number of people cycling on Mayfield Road due to the introduction of the QBC, or it could be because the QBC actually increases the risks to cyclists. It could also be both, of course.
Interestingly, 2012 was actually one of the safest years for cycling on Mayfield Road (only two incidents, compared to 7 and 9 in 2011 and 2012).