@Chlidonias indeed it doesn't! I think I might have uploaded an animal from another enclosure, because I have now found pictures of the two animals that I mentioned in the description of this post.
One of those two still looks wrong for H. albibarbis. The other does actually have a white beard so I assume that's a better start, but I'm not sure how to positively distinguish them from other gibbon species, so I'm still not confident that this would be H. albibarbis (which seem to have a much browner fur colour than this animal):
That second photo rather looks like a Mueller's Gibbon also. They are quite variable. I don't think it is an albibarbis (though it's not the best photo to try and get an ID from).
I took a photo of an gibbon that I thought is H. albibarbis, but i must confess, that it's really a hard task to distinguish H. albibarbis from H. agilis. What do you think?