Closeness centrality and betweenness centrality are the same for both natural, reverse and undirected relationship orientation

[Ooker]

I use NEuler to calculate closeness centrality and betweenness centrality of my directed graph. I notice that the indexes are the same regardless the relationship orientation are natural, reverse or undirected. I suppose they should be different. Is this the correct result? The degree centralities of each edge direction are different though