Show different links for Gliffy diagrams in searches

Currently, when we have a Gliffy diagram, when we search for it using Confluence search, the link takes us to a page full of text, instead of a view of the diagram.

This is illustrated below:

We can create a diagram in a page and see it in the attachments. The link shown takes us to the diagram:

This is what we see:

However, if I search for the diagram:

The link to the attachment is there, as well as to the page and the generated image. However, if I open the attachment, I get:

Text describing the diagram, instead of the fancy page where I can modify it.

That is confusing, as the users can't find the diagram page using searches. The '.png' link shows me the diagram, it is the image generated by Gliffy for the diagram. However, I cannot use it to edit the diagram, as it is only an image and it's confusing.

Adding the link to the page where I can edit the diagram (first image) would be much easier and less confusing.