Snap do not perform resample

Which product do you try to resample? Can you post the name? Have you tried to use DIMAP as output format? Is this working and is the result multi-size?
I remember there was some problem when storing resampled S2 to GeoTiff. But this should have been fixed in version 6.

have you tried the graph I provided here:

This once worked. In the Graph file you can switch to Big-GeoTiff format.
In the header of the graph is an example call shown.