We have not tested the white version. The PCB number also differs due to the “Q” compared to the black variant, but that could simply be a code for the color. I cannot confirm this without seeing images of the PCB.
Based on experience, the probability that the cooler will fit is very high. However, I cannot officially confirm this. There have been cases where the PCB layouts of black and white versions differed. This is very rare, but it does happen.
If you want to be certain, we would need photos of the PCB without the air cooler so we can compare it. Ideally, taken from directly above and showing the entire PCB.