Can 'Integrate variables' be used for summation of nodal values?

Suppose I have a vtu file containing a vector valued field quantity (three values + magnitude per node) on an unstructured 3d grid. I apply a slice filter to extract a snippet of the volume, e.g.,

Without a python script, is there a filter/feature to compute the total sum of (visible) nodal values for each component? I have thought of the ‘Integrate Variables’ filter, but I guess it will not perform a simple summation over (unique) nodal values for PointData?

DescriptiveStatistics should do the trick

After DescriptiveStatistics, Minimum/Maximum are correct, but not the sum as some nodes are repeated multiple times (shared between elements). How to tackle that?

You may want to use CleanToGrid or Clean first with merge point enabled to clean it up.

Got it running with CleanToGrid. Does the Integrate Variables filter provided some sort of weighted sum of the nodal values or it it completely off for my purpose?

IntegrateVariables would also take length/surface/volume into consideration, which doesnt seem to be needed in your case.