Can't open Netcdf file in QGIS when categorical axes is first dimension

I have problems opening the result in QGIS, when I save the following cube as a netcdf:

YAXArray with the following dimensions
PeakStats           Axis with 2 elements: Min Max 
Y                   Axis with 5820 Elements from 561609.15 to 736179.15
X                   Axis with 7500 Elements from 9.48724066e6 to 9.26227066e6
Total size: 333.02 MB

The save works and it also has values in it, because I can reload it correctly with YAXArrays, but when I try to open it in QGIS, it can't be displayed, because QGIS tries to open the X axis as band information. The same happens with ncview.

I am not sure, whether this is an issue in YAXArray or whether this is a limitation of QGIS, but at least we should document it.
I can mitigate the problem by permuting the dimensions, so that Y is the first and X is the second axis. And I think, that it would be good, when the axes would be permuted automatically while writing the netcdf file

No source file or test is named. Reproduce the reported YAXArray-to-NetCDF save with the categorical PeakStats axis first, then compare how QGIS and ncview handle the file when Y and X are first. Done should clarify whether YAXArrays needs automatic dimension permutation or whether the limitation should only be documented.