When you move a file, the inode is not changed, because the file is not changed. What does happen, is that the directory's contents (which is a list of inodes) is updated.
The superblock is more used to retain the status of inodes (ie list of free ones that can be recycled). This is thus also not affected
by the file move.
The inode will be updated when you hard link a file (reference count increments) or delete it (ref count decrement and if it turns 0, file
removal + inode freeing).