I'm not dismissing the study. Seems like good work to me. It leaves a fascinating question unanswered, but that's always the case. My complaint is about some of the reporting.
The press release says in part "Our study overturns current thinking on the health risks of sitting and indicates that the problem lies in the absence of movement" etc. But the Guardian then writes that the study "casts doubt on the value of sit-stand work stations", which is another thing entirely. That's something the Guardian could write if the study looked at whether spending the day in one position or varying makes a difference.
Sit-stand desk reduce the maximum length of time you're encouraged to stay in one stationary position. That may be helpful to your health, or not, but the study doesn't look at that dimension.
(Also, FWIW, I personally don't have a sit/stand desk because of health concerns. I just like them. Maybe I won't die a little earlier or later because of my desk and its motor, but I do have a more pleasant working day.)