dune_vtkcompare fails to compare grids from different grid manages

So, I switched from UG to dune-alugrid and my tests fail. This should not happen, we specifically advertised the ordering independence.

The output:

Sorting vtu by coordinates...
Difference is too large between: 106.0 and 4.0
Maximum relative difference for parameter connectivity: 96.23%
Info: The highest absolute value of connectivity is 6143.0 and the smallest 0.0.
Data differs in parameter: connectivity
Difference is too large between: 0.63325 and 0.617565
Maximum relative difference for parameter bla: 2.48%
Info: The highest absolute value of bla is 1.00291 and the smallest 0.607298.
Data differs in parameter: bla

See the files for reproduction attached. poisson_numdiff.vtupoisson_ref.vtu