Hi Sarah,
The difference between the versions is the indexing. The new version uses voxel indices between 1 and K, where K is the number of slices, so between (1,1,1) and (308,512,308) for the image in question. This is more familiar to users of MATLAB, etc.
The old version is more inconsistent. It uses zero-based indices like in C in the layer inspector dialog, but in the slice views itself, it reports one-based indices. So in your screenshot, the dialog has 200/200/200 but the slice views say "Slice 201 of 512", etc.
If you set the index in the old ITK-SNAP to 199/199/199 you will see 336, same as in the new version. You can also see that the world coordinates (NIFTI) on the layer inspector agree between the two versions then.
I realize this can cause confusion, but I think this was a problem in the old version that the new version fixes - so it made sense.
Thanks!
Paul